Existence results for perturbations of the p-Laplacian
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Publication:4322996
DOI10.1016/0362-546X(94)E0046-JzbMath0818.35029OpenAlexW1992561721MaRDI QIDQ4322996
Celius A. Magalhães, David Goldstein Costa
Publication date: 20 August 1995
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(94)e0046-j
\(p\)-Laplaciansaddle point theoremminimax techniquesPalais-Smale type conditionLandesman-Lazer problemmaintain-pass theorem
Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Critical point theorems for indefinite functionals
- A variational approach to subquadratic perturbations of elliptic systems
- Dual variational methods in critical point theory and applications
- Strongly nonlinear elliptic problems near resonance: a variational approach
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- Variational elliptic problems which are nonquadratic at infinity
- Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
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