On asymptotics of solutions to semilinear elliptic equations near the first eigenvalue of the nonperturbed problem

DOI10.1007/BF02314627zbMath0926.35108OpenAlexW265310705MaRDI QIDQ1290791

Yavdat Sh. Il'yasov

Publication date: 3 June 1999

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

Full work available at URL: https://doi.org/10.1007/bf02314627

zbMATH Keywords

asymptotic solutionconstrained variational problemfibering methodbasic solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30)

Related Items (1)

Positive solutions of indefinite equations withp-Laplacian and supercritical nonlinearity

Cites Work

• On semilinear elliptic equations with indefinite nonlinearities
• On the Positive Solutions of Semilinear Equations Δu + λu - hu p = 0 on the Compact Manifolds
• Multiple Solutions for a Semilinear Elliptic Equation
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