báo cáo hóa học:" L^{infty} estimates of solutions for the quasilinear parabolic equation with nonlinear gradient term and L^1 data" ppt

... Fully formatted PDF and full text (HTML) versions will be made available soon. L^{\infty} estimates of solutions for the quasilinear parabolic equation with nonlinear gradient term and L^1 data Boundary ... a priori estimates of the assumed solutions u(t) and give a proof of Theorem 2.4. The solutions are in fact given as limits of smooth solut...

Ngày tải lên: 21/06/2014, 20:20

... αt 0and t1  t be, respectively, lower and upper solutions of 3.60. Clearly αt and βt are not the solutions of 3.60 and αt <βt,t ∈ 0, 1. Also, the assumptions of Theorem ... satisfied. Thus, the conclusion of Theorem 3.1 applies to the problem 3.60. Acknowledgment The author is grateful to the referees and professor G. I nfante for the...

Ngày tải lên: 21/06/2014, 11:20

... for the existence of positive solutions of the p-Laplacian BVP 1.1-1.2. This paper is organized as follows. In Section 2 we first present the solution and some properties of the solution of ... state the fixed point theorems in order to prove the main results and we get the existence of at least one and two positive solutions for nonlinear p-Laplacian...

Ngày tải lên: 21/06/2014, 20:20

... extensively and many results for the existence of solutions, positive solutions, multiple solutions are obtained by use of the Leray-Schauder continuation theorem, Guo-Krasnosel’skii fixed point theorem, ... continuous. The proof is completed. Proof of Theorem 3.1. In view of Lemma 2.2, it is clear that x ∈ X is a solution of the BVP 1.2 if and only if x is a fixe...

Ngày tải lên: 21/06/2014, 20:20

... they apply the mountain pass theorem to get the nontrivial solutions of the the system. In 30, the author obtains the existence and multiplicity of solutions for the following problem: − div|∇u| px−2 ∇u ∂F ∂u x, ... growth hypotheses on the right-hand side of the system which will ensure the mountain pass geometry and Palais- Smale condition for th...

Ngày tải lên: 22/06/2014, 03:20

... concerned with the weakly efficient solution for the nonconvex and nonsmooth vector optimization problems by using the equivalence and Fan-KKM theorem without the restrict condition R m  ⊂ Cx for all ... Specialized Research Fund for the Doctoral Program of Higher Education 20060610005 and the Open Fund PLN0703 of State Key Laboratory of Oil and Gas Rese...

Ngày tải lên: 22/06/2014, 03:20

... Modeling and Mathematical Theory, vol. 1748 of Lecture Notes in Mathematics, Springer, Berlin, Germany, 2000. 16 V. V. Zhikov, “Averaging of functionals of the calculus of variations and elasticity ... “Existence of positive solutions for a class of px-Laplacian systems,” Journal of Mathematical Analysis and Applications, vol. 333, no. 2, pp. 591–603, 2007. 12...

Ngày tải lên: 22/06/2014, 03:20

... Problems investigate the existence of solutions to the problem by means of differential inequalities and Schaefer fixed point theorem. Their results complement and extend those of [22, 23] in the sense that they ... mathematical tools for providing a better understanding of many real-world models, we refer to [1–5] and the references therein. About the appli- cations...

Ngày tải lên: 22/06/2014, 19:20

... 2Mfξ. The proof of the following lemma is essentially the same as that of the Theorem 2.20 of 4; so we omit its proof. 8 Journal of Inequalities and Applications Proof of Theorem 1.2. Assume the ... inequality for M-harmonic conjugate operator as our next theorem, by the method somewhat similar to the proof of the main theorem. For a pair v, w, the ge...

Ngày tải lên: 21/06/2014, 18:20

... Institute (NCI), and the Radiology and Imaging Sciences Program (CC). We thank Guofeng Zhang of the Lab- oratory of Bioengineering and Physical Science (NIBIB) and Yide Mi of the Radiology and Imaging ... electron microscopy. SA performed the statistical data analysis. CMW assisted with the synthesis of the functionalized dendrimers. MAA assisted with the...

Ngày tải lên: 18/06/2014, 15:20