On the existence of positive eigenvalues for semilinear elliptic equation on all of \(\mathbb R^d\)

DOI10.1023/B:POTA.0000025377.60724.E4zbMath1059.35042OpenAlexW2038589312MaRDI QIDQ1876613

M. Mosbah, Nedra Belhaj Rhouma

Publication date: 20 August 2004

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:pota.0000025377.60724.e4

zbMATH Keywords

eigenvalueGreen's functionsemilinear elliptic equationeigenfunctionsubsolutionsupersolutionKato classsuperharmonic function

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Population dynamics (general) (92D25) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

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