Dirichlet problems with double resonance and an indefinite potential

DOI10.1016/j.na.2011.09.014zbMath1254.35098OpenAlexW2047246093WikidataQ112251805 ScholiaQ112251805MaRDI QIDQ435878

Nikolaos S. Papageorgiou, Leszek Gasiński

Publication date: 12 July 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.09.014

zbMATH Keywords

Harnack inequalitycritical groupsmountain pass theoremgradient flowdouble resonanceconstant sign and nodal solutions

Mathematics Subject Classification ID

Variational methods for higher-order elliptic equations (35J35) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items

Multiplicity of solutions for resonant Neumann problems with an indefinite and unbounded potential ⋮ Dirichlet problems with an indefinite and unbounded potential and concave-convex nonlinearities ⋮ Resonant equations with the Neumann \(p\)-Laplacian plus an indefinite potential ⋮ Existence of solutions for (p, q)-Laplacian equations with an indefinite potential

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nodal and multiple constant sign solutions for resonant \(p\)-Laplacian equations with a nonsmooth potential
• The spectrum and an index formula for the Neumann \(p\)-Laplacian and multiple solutions for problems with a crossing nonlinearity
• Existence of multiple solutions with precise sign information for superlinear Neumann problems
• The maximum principle
• Morse theory for indefinite nonlinear elliptic problems
• Multiple solutions for semilinear elliptic boundary value problems with double resonance
• Handbook of applied analysis
• Critical point theory and Hamiltonian systems
• A note on multiple solutions of some semilinear elliptic problems
• Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems
• Infinite dimensional Morse theory and multiple solution problems
• On an elliptic boundary value problem at double resonance
• Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking
• A strong maximum principle for some quasilinear elliptic equations
• Local behavior of solutions of quasi-linear equations
• Homotopy theory of infinite dimensional manifolds
• Unique continuation for elliptic operators: A geometric-variational approach
• Double resonance in semilinear elliptic problems
• Strict Monotonicity of Eigenvalues and Unique Continuation
• Double resonance in semilinear elliptic boundary value problems over bounded and unbounded domains
• Resonant nonlinear Neumann problems with indefinite weight
• Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints
• Methods in Nonlinear Analysis
• Critical point theory on partially ordered Hilbert spaces
• Multiple solutions for elliptic equations with resonance
• Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues