On the solvability of a semilinear operator equation at resonance as applied to elliptic boundary value problems in unbounded domains

DOI10.1016/0022-0396(83)90064-5zbMath0526.35030OpenAlexW2008581388MaRDI QIDQ595104

E. M. Landesman, Georg Hetzer

Publication date: 1983

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90064-5

zbMATH Keywords

solvabilityunbounded domainsuniform a priori boundssemilinear operator equation at resonance

Mathematics Subject Classification ID

Related Items (5)

Double resonance of semilinear operator equations in \(L_ 2\)-spaces ⋮ Double resonance in semilinear elliptic boundary value problems over bounded and unbounded domains ⋮ Nonresonance semilinear operator equations in unbounded domains ⋮ Existence of solutions for a problem of resonance using variational method ⋮ A semilinear problem with jumping nonlinearities in unbounded domains

Cites Work

• On Galerkin's method in the existence theory of quasilinear elliptic equations
• Bemerkungen über nichtlineare Störungen von Schrödinger-Operatoren
• Ordinary differential equations with nonlinear boundary conditions
• Über schwache Lösungen des Dirichletproblems für streng nichtlineare elliptische Differentialgleichungen
• Boundary Value Problems for Strongly Nonlinear Elliptic Equations
• An elliptic boundary value problem for strongly non-linear equations in unbounded domains
• Equivalent Norms for Sobolev Spaces
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