On a conjecture related to the number of solutions of a nonlinear Dirichlet problem

DOI10.1017/S0308210500012993zbMath0533.35037OpenAlexW2316571970WikidataQ122902823 ScholiaQ122902823MaRDI QIDQ3315879

Patrick J. McKenna, Alan C. Lazer

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500012993

zbMATH Keywords

multiplicityasymptotically linear nonlinearitynonlinear Dirichlet problemsemilinear elliptic boundary value problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65)

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Cites Work

• Le nombre de solutions de certains problèmes semi-linéaires elliptiques
• On the number of solutions of a nonlinear Dirichlet problem
• On the inversion of some differentiable mappings with singularities between Banach spaces
• A multiplicity result for a class of elliptic boundary value problems
• Sharp existence results for a class of semilinear elliptic problems