Coincidence degree and nontrivial solutions of elliptic boundary value problems at resonance.

DOI10.1016/j.na.2003.10.011zbMath1055.35052OpenAlexW1995421472MaRDI QIDQ1426420

Zhi-Qing Han

Publication date: 14 March 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.10.011

zbMATH Keywords

Coincidence degreeElliptic boundary value problemsNontrivial solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Degree theory for nonlinear operators (47H11) Fixed-point theorems on manifolds (58C30) Applications of operator theory to differential and integral equations (47N20)

Related Items (4)

Computations of critical groups and applications to some differential equations at resonance ⋮ Existence of solutions for weighted \(p(r)\)-Laplacian impulsive system mixed type boundary value problems ⋮ Existence of solutions for weighted \(p(r)\)-Laplacian impulsive system periodic-like boundary value problems ⋮ Existence of solutions and nonnegative solutions for weighted \(p(r)\)-Laplacian impulsive system multi-point boundary value problems

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• Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
• On the Dirichlet problem for weakly non-linear elliptic partial differential equations
• Critical point theory for asymptotically quadratic functionals and applications to problems with resonance

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