An extension of a theorem on semilinear elliptic problems

DOI10.1016/0362-546X(90)90031-BzbMath0706.35053OpenAlexW2078966536MaRDI QIDQ3487853

Greg A. Harris

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90031-b

zbMATH Keywords

semilinear elliptic problemAmbrosetti-Prodi result

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) General topics in partial differential equations (35A99)

Cites Work

• Multiplicity results for a class of semilinear elliptic and parabolic boundary value problems
• Boundary value problems with jumping nonlinearities
• The superposition operator in function spaces - A survey
• On the number of solutions of a nonlinear Dirichlet problem
• On the ranges of certain weakly nonlinear elliptic partial differential equations
• On the inversion of some differentiable mappings with singularities between Banach spaces
• A multiplicity result for a class of elliptic boundary value problems
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• On a conjecture related to the number of solutions of a nonlinear Dirichlet problem
• Existence of a third solution for a class of B.V.P. with jumping nonlinearities
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• Boundary value problems with jumping nonlinearities
• On the Dirichlet problem for weakly non-linear elliptic partial differential equations
• Equivalent Norms for Sobolev Spaces
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