Quasilinear elliptic problems in \(\mathbb R^N\) involving oscillatory nonlinearities

DOI10.1016/j.jde.2007.01.012zbMath1185.35071OpenAlexW2148924693MaRDI QIDQ878537

Alexandru Kristály, Stepan Agop Tersian, Gheorghe Morosanu

Publication date: 26 April 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.01.012

zbMATH Keywords

multiple solutions\(p\)-Laplacianoscillatory nonlinearities

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) Geometric theory, characteristics, transformations in context of PDEs (35A30) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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Cites Work

• Unnamed Item
• The principle of symmetric criticality
• Every superposition operator mapping one Sobolev space into another is continuous
• Symétrie et compacité dans les espaces de Sobolev
• On a nonlinear Schrödinger equation with periodic potential
• Infinitely many nonradial solutions of a Euclidean scalar field equation
• Solitons in several space dimensions: Derrick's problem and infinitely many solutions
• On the multiplicity of the solutions of the equation \(-\Delta u=\lambda \cdot f(u)\)
• Infinitely many critical points of non-differentiable functions and applications to a Neumann-type problem involving the \(p\)-Laplacian
• Multiple solutions for a class of nonlinear Schrödinger equations
• Infinitely many solutions for the Dirichlet problem involving the \(p\)-Laplacian
• Homoclinic solutions for a semilinear elliptic equation with an asymptotically linear nonlinearity
• Existence and uniqueness of nonnegative solutions of quasilinear equations in \(\mathbb{R}^ n\)
• Infinitely many solutions for a differential inclusion problem in \(\mathbb R^N\)
• Eigenvalue problems for quasilinear elliptic equations on R^N
• INFINITELY MANY SOLUTIONS OF THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN
• Homoclinic type solutions for a semilinear elliptic PDE on ℝⁿ
• Nonlinear eigenvalue problems for quasilinear equations in unbounded domains
• Multiple positive solutions of quasilinear elliptic equations in R
• A POSITIVE SOLUTION OF A NONHOMOGENEOUS ELLIPTIC EQUATION IN R^NWITHG-INVARIANT NONLINEARITY
• Infinitely many arbitrarily small positive solutions for the Dirichlet problem involving the p-Laplacian
• Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential^∗
• On a class of quasilinear eigenvalue problems in R^N
• Nonlinear eigenvalue problems for quasilinear operators on unbounded domains