Least energy nodal solution of a singular perturbed problem with jumping nonlinearity

DOI10.2422/2036-2145.2011.1.02zbMath1219.35103OpenAlexW186285061MaRDI QIDQ3006307

Sanjiban Santra, Wei, Juncheng, E. Norman Dancer

Publication date: 10 June 2011

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.2011.1.02

zbMATH Keywords

jumping nonlinearityleast energy nodal solutionSemilinear elliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Schrödinger operator, Schrödinger equation (35J10) Semilinear elliptic equations (35J61)

Related Items (6)

Existence and concentration behavior of sign-changing solutions for quasilinear Schrödinger equations ⋮ Sign-changing multi-peak solutions for nonlinear Schrödinger equations with compactly supported potential ⋮ Sign-changing semi-classical solutions of the Brezís-Nirenberg problems with jump nonlinearities in high dimensions ⋮ Least energy sign-changing solutions of the singularly perturbed Brezis-Nirenberg problem ⋮ Spikes of the two-component elliptic system in \(\mathbb {R}^4\) with the critical Sobolev exponent ⋮ A new type of nodal solutions to singularly perturbed elliptic equations with supercritical growth

This page was built for publication: Least energy nodal solution of a singular perturbed problem with jumping nonlinearity