Families of 'first eigenfunctions' for semilinear elliptic eigenvalue problems

DOI10.1215/S0012-7094-91-06218-6zbMath0733.35090MaRDI QIDQ810305

Kyril Tintarev, Schechter, Martin

Publication date: 1991

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Dirichlet datafamilies of first eigenfunctionssemilinear elliptic eigenvalue problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods applied to PDEs (35A15)

Related Items (4)

Eigenvalues for semilinear boundary value problems ⋮ On strictly positive solutions for some semilinear elliptic problems ⋮ A relation between critical values and eigenvalues in nonliner minimax problems ⋮ On positive solutions for some semilinear periodic parabolic eigenvalue problems.

Cites Work

• Spherical maxima in Hilbert space and semilinear elliptic eigenvalue problems
• Eigenvalues for semilinear boundary value problems
• On the existence of multiple ordered solutions of nonlinear eigenvalue problems
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