Multiple nodal solutions for elliptic equations

DOI10.1016/j.na.2004.03.010zbMath1094.35053OpenAlexW2051163393MaRDI QIDQ1879693

Aixia Qian, Shu-Jie Li

Publication date: 23 September 2004

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.2004.03.010

zbMATH Keywords

critical pointsgroup actionmultiple sign-changing solutions

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items

Infinitely many sign-changing solutions for a semilinear elliptic equation with variable exponent ⋮ Infinitely many sign-changing solutions for a Schrödinger equation ⋮ Sign-changing solutions for a class of nonlinear elliptic problems ⋮ Multiple nodal solutions for some fourth-order boundary value problems via admissible invariant sets ⋮ Sign-changing solutions for semilinear elliptic equation with variable exponent ⋮ Non-uniformly asymptotically linear \(p\)-Laplacian problems ⋮ An infinity of nodal solutions for superlinear Robin problems with an indefinite and unbounded potential

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