Existence of nodal solutions for quasilinear elliptic problems in ℝN

DOI10.1017/S0308210515000190zbMath1331.35112arXiv1312.3457OpenAlexW2606808281MaRDI QIDQ3456291

A. Derlet, François Genoud

Publication date: 11 December 2015

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3457

zbMATH Keywords

weighted Sobolev spacesunbounded domainquasilinear elliptic equationssign-changing solutionsNehari manifold

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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