Nontrivial solutions for Neumann problems with an indefinite linear part

DOI10.1016/j.amc.2010.08.004zbMath1202.35100OpenAlexW2050106120WikidataQ112251818 ScholiaQ112251818MaRDI QIDQ606836

Nikolaos S. Papageorgiou, Leszek Gasiński

Publication date: 18 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.08.004

zbMATH Keywords

local linkingspectral decompositionNeumann problemAmbrosetti-Rabinowitz conditionCerami conditionsuperlinear nonlinearityindefinite linear part

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (4)

Existence and uniqueness of positive solutions for the Neumann \(p\)-Laplacian ⋮ Nodal solutions for noncoercive nonlinear Neumann problems with indefinite potential ⋮ Quasilinear elliptic equations on noncompact Riemannian manifolds ⋮ Periodic solutions for second order Hamiltonian systems with impulses via the local linking theorem

Cites Work

• Existence of solutions for an elliptic equation with indefinite weight
• Applications of local linking to critical point theory
• Solutions to semilinear elliptic problems with combined nonlinearities
• Dual variational methods in critical point theory and applications
• A perturbation theorem for the equation −Δu + λu = uP in unbounded domains
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Variational elliptic problems which are nonquadratic at infinity
• Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth
• On a semilinear elliptic equation with indefinite linear part
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