Eigenvalues for semilinear boundary value problems

DOI10.1007/BF00375064zbMath0719.47048OpenAlexW2020310969MaRDI QIDQ2640122

Kyril Tintarev, Schechter, Martin

Publication date: 1991

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00375064

zbMATH Keywords

semilinear boundary value problemsselfadjoint operator corresponding to an elliptic boundary value problem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Related Items (7)

On a stationary Schrödinger equation with periodic magnetic potential ⋮ A critical value function and applications to semilinear elliptic equations on unbounded domains ⋮ A relation between critical values and eigenvalues in nonliner minimax problems ⋮ A gårding's inequality for variational problems with constraints ⋮ A general variational principle and some of its applications ⋮ Mountain Impasse Theorem and Spectrum of Semilinear Elliptic Problems ⋮ Families of 'first eigenfunctions' for semilinear elliptic eigenvalue problems

Cites Work

• Spherical maxima in Hilbert space and semilinear elliptic eigenvalue problems
• Families of 'first eigenfunctions' for semilinear elliptic eigenvalue problems
• Dual variational methods in critical point theory and applications
• Derivatives of Mappings With Applications to Nonlinear Differential Equations
• Variational and topological methods in nonlinear problems
• A Variation of the Mountain Pass Lemma and Applications
• A Bounded Mountain Pass Lemma Without the (PS) Condition and Applications
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
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