A continuation theorem and the variational solvability of quasilinear elliptic boundary value problems at resonance

DOI10.1016/0362-546X(80)90077-2zbMath0467.47041OpenAlexW2029221189MaRDI QIDQ3920207

Georg Hetzer

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0362-546x(80)90077-2

zbMATH Keywords

elliptic boundary value problemssemilinear operator equationscontinuation theoremsalternative problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05)

Related Items

Periodic solutions of ordinary differential equations in a Hilbert space and a quasilinear pseudoparabolic boundary value problem ⋮ Variational solvability of quasilinear elliptic boundary value problems at resonance

Cites Work

• Radial solutions for a Dirichlet problem in a ball
• Continuation theorems and the approximation-solvability of equations involving multivalued A-proper mappings
• Zeros of accretive operators
• Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
• Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces
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