Spectrum and bifurcation for semilinear elliptic problems in \(\mathbb{R}^N\)

DOI10.1016/J.JDE.2017.07.004zbMath1402.35127OpenAlexW2734585815MaRDI QIDQ1785946

Guowei Dai, Jinghua Yao, Feng-Quan Li

Publication date: 2 October 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.07.004

zbMATH Keywords

bifurcationspectrumsemilinear equationLaplaciannodal solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General topics in linear spectral theory for PDEs (35P05) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (3)

Bifurcation and entire hypersurfaces of mean curvature equation in Minkowski space ⋮ THREE RADIAL POSITIVE SOLUTIONS FOR SEMILINEAR ELLIPTIC PROBLEMS IN <inline-formula><tex-math id="M1">${{\mathbb{R}}^{N}}$</tex-math></inline-formula> <inline-formula><tex-math id="M2">$ ^* $</tex-math></inline-formula> ⋮ Spectrum and global bifurcation results for nonlinear second-order problem on all of \(\mathbb{R}\)

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• Global solution branches for semilinear equations in rn
• On some linear and nonlinear eigenvalue problems with an indefinite weight function
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• A shallow water equation on the circle

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