New competition phenomena in Dirichlet problems

DOI10.1016/j.matpur.2010.03.005zbMath1206.35124OpenAlexW1981094724MaRDI QIDQ616300

Alexandru Kristály, Gheorghe Morosanu

Publication date: 7 January 2011

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2010.03.005

zbMATH Keywords

Dirichlet problemvariational methodindefinite potentialcritical and supercritical growthoscillatory nonlinearity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)

Related Items

Schrödinger-Maxwell systems on non-compact Riemannian manifolds, Infinitely many solutions for a nonlinear difference equation with oscillatory nonlinearity, Competition phenomena for elliptic equations involving a general operator in divergence form, Sequences of Weak Solutions for Non-Local Elliptic Problems with Dirichlet Boundary Condition, Existence of entire solutions for a class of quasilinear elliptic equations, Differential inclusions involving oscillatory terms, Multiplicity results for weak solutions of a semilinear Dirichlet elliptic problem with a parametric nonlinearity, Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\), New Conditions for the Existence of Infinitely Many Solutions for a Quasi-Linear Problem, Infinitely many solutions to elliptic problems with variable exponent and nonhomogeneous Neumann conditions, Variational-hemivariational inequalities with small perturbations of nonhomogeneous Neumann boundary conditions, On nonlocal fractional Laplacian problems with oscillating potentials, Existence results of infinitely many solutions forp(x)-Laplacian elliptic Dirichlet problems, Bifurcation of positive solutions for nonlinear nonhomogeneous Robin and Neumann problems with competing nonlinearities

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