... results for p-Laplacian with critical nonlinearity of concave-convex type and sign-changing weight functions Abstr Appl Anal 20 09, 24 (20 09) Article ID 6 521 09) 20 Kang, D, Huang, Y, Liu, S: Asymptotic ... doi:10.1016/j.matpur .20 08.09.008 15 Gazzini, M, Musina, R: On a Sobolev-type inequality related to the weighted p-Laplace operator J Math Anal Appl 3 52, 99–111 (20 09) doi:10.1016/j.jmaa .20 08.06. 021 16 Kang, ... Math Anal Appl 333, 889–903 (20 07) doi:10.1016/j.jmaa .20 06. 12. 005 Ghoussoub, N, Yuan, C: Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents Trans Am Math...
... L∞ Sp Ω p /2 p 2 By 2. 4 and 3.7 , we have J a, b u p 2 u 2p ≥ u q H1 > 2 q p−q b ⎡ p 2 Sp Ω ×⎣ 2p 2 q H1 −λ p−q Sp Ω pq −q /2 a Lq ∗ q/ p 2 Sp Ω pq /2 p 2 L∞ p 2 q /2 p 2 2−q p−q b 2 q / p 2 L∞ p−q ... pp 28 1–304, 19 92 e e 21 I Ekeland, “On the variational principle,” Journal of Mathematical Analysis and Applications, vol 47, pp 324 –353, 1974 22 P H Rabinowitz, Minimax Methods in Critical Point ... 705–717, 20 03 A Ambrosetti, J Garcia Azorero, and I Peral, “Multiplicity results for some nonlinear elliptic equations,” Journal of Functional Analysis, vol 137, no 1, pp 21 9 24 2, 1996 J P Garc a Azorero,...
... Analysis and Applications, vol 24 5, no 2, pp 547–559, 20 00 18 V Lakshmikantham, S Sivasundaram, and B Kaymakcalan, Dynamic Systems on Measure Chains, vol 370 of Mathematics and Its Applications, ... 2, pp 911– 920 , 20 06 14 Advances in Difference Equations 17 C J Chyan and J Henderson, “Eigenvalue problems for nonlinear differential equations on a measure chain,” Journal of Mathematical Analysis ... 20 02 16 Z He and X Jiang, “Triple positive solutions of boundary value problems for p-Laplacian dynamic equations on time scales,” Journal of Mathematical Analysis and Applications, vol 321 ,...
... reference For this reason ray tracing can be used as a method for the simulation and approximation of radio wave propagation at high frequencies The ray tracing of radio waves operates in the same manner ... 900MHz, radio waves can be described as travelling along localized ray paths (i.e approximately a straight line) Therefore, ray tracing can be used as a method for the simulation and approximation ... the appropriate electric field value The ray list contains all of the data about rays propagating from a base station to a field point Each field point has a ray list associated with it A ray...
... P1,P5-di(adenosine-5¢)-pentaphosphate (Ap 5A) as inhibitor of adenylate kinase to prevent depletion of available ATP and ADP and to maintain steady-state respiration Instead, we did a theoretical calculation of the extramitochondrial ... calculated as (for derivation see supplementary data, Appendix S1): FEBS Journal 27 3 (20 06) 528 8–53 02 ª 20 06 The Authors Journal compilation ª 20 06 FEBS J Ciapaite et al Palmitoyl-CoA and control ... mitochondrial ADP As AMPK stimulates cellular fatty acid uptake [29 ] and the availability of circulating fatty acids is increased in obesity, this may lead to accumulation of intracellular triacylglycerols...
... requirements Article 19 Annual report An AIFM shall, for each of the AIF it manages, make available an annual report for each financial year The annual report shall be made available to investors and ... mitigate and manage the risks associated with their activity Article 16 Valuation 19 EN AIFM shall ensure that, for each AIF that it manages, a valuator is appointed which is independent of the AIFM ... the AIFM incurs on behalf of the AIF that it manages as well as any arrangements needed to enable AIFM to manage the particular risks associated with short selling transactions, including any...
... machine learning techniques In EMNLP 20 02, pages 79– 86 Patrick Pantel and Deepak Ravichandran 20 04 Automatically labeling semantic classes In NAACLHLT’04, pages 321 – 328 Sunita Sarawagi and Alok ... to train a binary classifier SFA is the spectral feature alignment technique of Pan et al (20 10) Both the LSA and FALSA techniques are based on latent semantic analysis (Pan et al., 20 10) For the ... mining and sentiment analysis Foundations and Trends in Information Retrieval, 2( 1 -2) :1–135 Bo Pang, Lillian Lee, and Shivakumar Vaithyanathan 20 02 Thumbs up? sentiment classification using machine...
... The table below summarizes some communication aspects of the hierarchical and participatory approaches HIERARCHICAL MODELS PARTICIPATORY APPROACHES Behavioural causes Structural causes Vertical ... the digital divide in El Salvador, Guatemala, Trinidad & Tobago, Canada and Australia have yielded impressive results There are some useful tools to assist with these efforts Association for Progressive ... communication for development “mix” of traditional and/or appropriate media; • where accessible, these new media have features that enable bottom-up articulation and sharing of information on needs and...
... My plant! ANNIE and BRIDGET No! And here’s a job as a cook ANNIE and BRIDGET No ANNIE Wait a minute! Look at this A waiter! ANNIE What a great idea! BRIDGET Yes! Ooh, I love good looking waiters! ... email] ‘Nadia Hector wants a job.’ HECTOR I am going – to look fora job ANNIE ‘But it’s difficult What can he do? He can’t work in a launderette and he can’t work as a gardener.’ ANNIE My plant! ... Internet, can’t we ANNIE OK, here we are, job vacancies BRIDGET Well, let’s see ANNIE Oh well, there’s a job in a launderette ANNIE and BRIDGET Hector! No! ANNIE And there’s a job as a gardener ANNIE...
... 419– 426 Kenji Yasuda, Fumiaki Sugaya, Toshiyuki Takezawa, Seiichi Yamamoto and Masuzo Yanagida 20 03 Applications of Automatic Evaluation Methods to Measuring a Capability of Speech Translation System ... the Gap values of 12 measures for each Coverage value from 0 .2 to 1.0 at 0.1 intervals Average values of Gap for each measure are also shown in these tables As can be seen from Tables and 2, the ... Summarization Proceedings of Eurospeech 20 03: 28 25 28 28 Conclusions We have investigated an automatic method that uses several evaluation results from a manual method based on Kazawa’s and Yasuda’s...
... singular and nonsingular discrete problems via variational methods,” Nonlinear Analysis: Theory, Methods & Applications, vol 58, no 1 -2, pp 69–73, 20 04 R P Agarwal, K Perera, and D O’Regan, Multiple ... c1 2B c2 ⊂Λ 3 .20 Now, let u1 and u2 be two local minima for Φ − λΨ such that Ψ u1 ≥ and Ψ u2 ≥ Owing f to Lemmas 2. 5 and 2. 6, they are two positive solutions for Pλ so tu1 − t u2 ≥ 0, for all ... singular discrete p-Laplacian problems via variational methods,” Advances in Difference Equations, no 2, pp 93–99, 20 05 G Bonanno and P Candito, “Nonlinear difference equations investigated via critical...
... l2 → 0, ∞ are continuous and singular at r singular at t and/or In this case, we assume l2 r l1 2 n 2 n − l1 2 n l2 −r 2 n ki r dr < ∞, 5 .2 then we can easily check that both hi satisfy D1 and ... effect,” Journal of Mathematical Analysis and Applications, vol 125 , no 1, pp 1 92 20 2, 1987 E K Lee and Y.-H Lee, Multiple positive solutions of a singular Gelfand type problem for secondorder ... D1 and apply Theorem 4.1 to obtain the following corollary Boundary Value Problems 21 Corollary 5 .2 Assume D2 ∼ D6 If both ki ∈ C l1 , l2 , 0, ∞ l2 2 n r 2 n − l1 l1 satisfy 2 n l2 − r 2 n ki...
... Atsushiba and W Takahashi, “Strong convergence theorems fora finite family of nonexpansive mappings and applications,” Indian Journal of Mathematics, vol 41, no 3, pp 435–453, 1999 W Takahashi and ... 2 ααn yn − q 2 n yn − q, γf q − Aq − 22A yn − q , γf xn − Aq n ≤ − αn γ xn − q 2 ααn xn − q 22 γf xn − Aq n 2 n yn − q, γf q − Aq − 22A yn − q , γf xn − Aq n ≤ − αn γ 2 ααn 2 γf xn − Aq ... theorems fora finite family of nonexpansive mappings,” Fixed Point Theory and Applications, vol 20 07, Article ID 76971, pages, 20 07 A Kangtunyakarn and S Suantai, A new mapping for finding common...
... Germany, 20 00 J Chabrowski and Y Fu, “Existence of solutions for p x -Laplacian problems on a bounded domain,” Journal of Mathematical Analysis and Applications, vol 306, no 2, pp 604–618, 20 05 ... J Chabrowski and Y Fu, “Corrigendum to: “Existence of solutions for p x -Laplacian problems on a bounded domain”,” Journal of Mathematical Analysis and Applications, vol 323 , no 2, p 1483, 20 06 ... 4 62, no 20 73, pp 26 25 26 41, 20 06 12 Journal of Inequalities and Applications D G De Figueiredo and Y H Ding, “Strongly indefinite functionals and multiple solutions of elliptic systems,” Transactions...
... Inequality and Complementarity Problem Theory with Applications, Shanghai Scientific Technology and Literature Press, Shanghai, China, 1991 [2] M A Noor, “On a class of variational inequalities,” Journal ... Journal of Mathematical Analysis and Applications, vol 128 , no 1, pp 138–155, 1987 [3] S S Zhang and S W Xiang, “On the existence and uniqueness of solutions fora class of variational inequalities ... variational inequalities in reflexive Banach spaces,” Applied Mathematics Letters, vol 20 , no 2, pp 148–153, 20 07 [5] D J Guo, Nonlinear Functional Analysis, Science and Technology Press, Jinan,...
... the mutual information as single paramater, so we make use of the usual function that relates the mean and the mutual information: fora message m with conditional pdf m | x = ∼ N (μ, 2 ), and m ... International Conference on Communications (ICC ’03), vol 5, pp 3 125 –3 129 , Anchorage, Alaska, USA, May 20 03 [18] T J Richardson, M A Shokrollahi, and R Urbanke, “Design of capacity-approaching ... show that the Gaussian a priori GA approximation is more attractive since the mutual information computed under this assumption have the smallest gap to the exact mutual information (Monte Carlo...
... is valid, it is not a good programming practice and should be avoided DeliveryAddress int da1 da2 da2 da1 da1 = = = = = da1; da2; DeliveryAddress.Home; da1; (int)da1; da2; (DeliveryAddress)da2; ... int[] myArray; myArray = new int[3]; // (1) // (2) At step (1), a reference variable called myArray is created for an int array At step (2) , space is allocated to store three int values The square ... and reliability 4.7.3 Using Rectangular and Jagged Arrays C# supports two kinds of multi-dimensional arrays: rectangular and jagged Rectangular arrays like matrices have more than one index and...