EIGENVALUE PROBLEMS FOR DEGENERATE NONLINEAR ELLIPTIC EQUATIONS IN ANISOTROPIC MEDIA ˘ DUMITRU docx

... 0. (3.12) EIGENVALUE PROBLEMS FOR DEGENERATE NONLINEAR ELLIPTIC EQUATIONS IN ANISOTROPIC MEDIA DUMITRU MOTREANU AND VICENT¸IUR ˘ ADULESCU Received 23 September 2004 and in revised form 26 November ... of nonlinear Schr ¨ odinger equations with poten- tials of the class (V a ) , Comm. Partial Differential Equations 13 (1988), no. 12, 1499–1519. 122 Nonlinear...

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... equation with degener ate nonlinear operator satisfy- ing a strengthened ellipticity condition, regularity of solutions was studied in [4, 5] (non- degenerate case) and in [6, 7] (degenerate case). However, ... system of degenerate nonlinear fourth-order equations, ” Nonlinear Analysis. Theory, Methods & Applications, vol. 61, no. 3, pp. 281–307, 2005. [4] I. V. Skrypnik,...

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... de l’Institut Henri Poincar ´ e. Analyse Non Lin ´ eaire,vol.1,no.4,pp. 223–283, 1984. [17] P L. Lions, “On positive solutions of semilinear elliptic equations in unbounded domains,” in Nonlinear ... semilinear elliptic equations in unbounded domains,” Annales de l’Institut Henri Poincar ´ e. Analyse Non Lin ´ eaire, vol. 14, no. 3, pp. 365–413, 1997. [4] D. M. Cao, Eigenvalue...

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... 3434–3447, 2009. 19 T S. Hsu and H L. Lin, “Multiple positive solutions for semilinear elliptic equations in N involving concave-convex nonlinearities and sign-changing weight functions,” Abstract and ... some quasilinear elliptic equations, ” Electronic Journal of Differential Equations, vol. 1997, no. 5, pp. 1–11, 1997. 32 T F. Wu, “On semilinear elliptic equations involv...

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... f  λ  σ(1) 0 G  σ(s),r  b(r)g  u  σ(r)  Δr  Δs (3.11) Hindawi Publishing Corporation Advances in Difference Equations Volume 2007, Article ID 31640, 10 pages doi:10.1155/2007/31640 Research Article Eigenvalue Problems for Systems of Nonlinear ... [20–24]. ThemaintoolinthispaperisanapplicationoftheGuo-Krasnosel’skiifixedpoint- theorem for operators leaving a Banach space c...

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... B 0 s ≤ βs for s ∈ R  . 1.2 H6 lim x→∞ fx, ψs/x p−1  ∞ uniformly in s ∈ −τ,0. p-Laplacian problems with two-, three-, m-point boundary conditions for ordinary differential equations ... and obtained sufficient conditions for the existence of positive solutions, Li and Liu 10 studied the eigenvalue problem for second-order nonlinear dynamic equations on time sc...

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... Alsaedi, “Existence of solutions for anti-periodic boundary value problems of nonlinear impulsive functional integro-differential equations of mixed type,” Nonlinear Analysis: Theory, Methods & ... equations in Banach spaces,” Acta Mathematica Sinica, vol. 41, no. 3, pp. 629–636, 1998 Chinese. 11 P. L. Shen and F. Y. Li, “Coupled periodic solutions of nonlinear evolutio...

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... be seen as field equations governing the longitudinal motion of a viscoelastic configuration obeying the nonlinear Voight model 1–4. For b  0, it is well known that the damping term assures ... viscoelasticity equations with nonlinear damping and source terms,” Nonlinear Analysis: Theory, Methods & Applications, vol. 56, no. 6, pp. 851–865, 2004. 12 Z. Yang, “Blowup of solu...

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