Nonresonance semilinear operator equations in unbounded domains

DOI10.1016/0362-546X(87)90006-XzbMath0671.35027OpenAlexW2061544272MaRDI QIDQ3824754

Gerhard Metzen

Publication date: 1987

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(87)90006-x

zbMATH Keywords

weak solvabilityunbounded domainsself-adjoint operatornonresonance conditionsemilinear

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05)

Related Items (1)

A semilinear problem with jumping nonlinearities in unbounded domains

Cites Work

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• On the solvability of a semilinear operator equation at resonance as applied to elliptic boundary value problems in unbounded domains
• Nonuniform nonresonance conditions at the two first eigenvalues for periodic solutions of forced Liénard and Duffing equations
• On a nonlinear two-point boundary value problem
• Linear eigenvalues and a nonlinear boundary value problem
• Nonresonance and existence for nonlinear elliptic boundary value problems

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