Multi-bump solutions of \(-\Delta = K(x)u^{\frac{n+2}{n-2}}\) on lattices in \(\mathbb{R}^n\)

DOI10.1515/crelle-2015-0090zbMath1410.35047arXiv1305.4698OpenAlexW2564948658MaRDI QIDQ1789364

Hao-yuan Xu, Yan-yan Li, Wei, Juncheng

Publication date: 10 October 2018

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4698

zbMATH Keywords

critical exponentsemilinear elliptic equationmulti-bump solutionsexistence and non-existence of solutions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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