Asymptotically linear elliptic equations without nonresonance conditions

DOI10.1006/jdeq.1994.1118zbMath0806.35040OpenAlexW1973910706MaRDI QIDQ1336341

Noriko Mizoguchi

Publication date: 13 February 1995

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

Full work available at URL: https://doi.org/10.1006/jdeq.1994.1118

zbMATH Keywords

semilinear elliptic equationexistence of nontrivial solutionsnonresonance condition at infinity

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (12)

Nontrivial solutions of a semilinear elliptic problem via variational methods ⋮ Critical point theory for asymptotically quadratic functionals and applications to problems with resonance ⋮ Multiple solutions for nonlinear elliptic equations at resonance with a nonsmooth potential. ⋮ Multiple solutions for resonant elliptic equations via local linking theory and Morse theory ⋮ Multiplicity results for semilinear elliptic equations with resonance at higher eigenvalues ⋮ A multiplicity theorem for problems with the \(p\)-Laplacian ⋮ An elliptic resonance problem with multiple solutions ⋮ Multiple solutions for elliptic equations with resonance ⋮ Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues ⋮ Elliptic resonant problems at higher eigenvalues with an unbounded nonlinear term ⋮ Semilinear elliptic resonant problems at higher eigenvalue with unbounded nonlinear terms ⋮ Existence and multiplicity results for classes of elliptic resonant problems.

This page was built for publication: Asymptotically linear elliptic equations without nonresonance conditions