Existence and multiplicity of nodal solutions for Dirichlet problems in upper half strip with holes

DOI10.1016/j.na.2007.07.054zbMath1151.35371OpenAlexW2046649109MaRDI QIDQ944780

Publication date: 10 September 2008

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.2007.07.054

zbMATH Keywords

semilinear elliptic equations nodal solutions Nehari manifold

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60)

Cites Work

Unnamed Item
Nonlinear scalar field equations. I: Existence of a ground state
Four 2-nodal solutions for a semilinear elliptic equation in a finite strip with a hole
The concentration-compactness principle in the calculus of variations. The locally compact case. II
Positive solutions of some nonlinear elliptic problems in exterior domains
Existence of solutions of semilinear elliptic problems on unbounded domains
Symmetry breaking in a bounded symmetry domain
Minimal nodal solutions of the pure critical exponent problem on a symmetric domain
Local mountain passes for semilinear elliptic problems in unbounded domains
Minimax theorems
Dual variational methods in critical point theory and applications
Multiplicity of nodal solutions for elliptic problems involving non-odd nonlinearities
A relation between the domain topology and the number of minimal nodal solutions for a quasilinear elliptic problem
Three nodal solutions of singularly perturbed elliptic equations on domains without topology
A note on the number of nodal solutions of an elliptic equation with symmetry
Multiple positive solutions for semilinear elliptic equations in Esteban-Lions domains with holes
A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
The effect of the domain topology on the number of minimal nodal solutions of an elliptic equation at critical growth in a symmetric domain
Existence and non-existence results for semilinear elliptic problems in unbounded domains
Least energy solutions for elliptic equations in unbounded domains
Critical point theory on partially ordered Hilbert spaces

This page was built for publication: Existence and multiplicity of nodal solutions for Dirichlet problems in upper half strip with holes