On solvability of elliptic boundary value problems via global invertibility

DOI10.7494/OPMATH.2020.40.1.37zbMath1436.35191MaRDI QIDQ5106697

Michał Bełdziński, Marek Galewski

Publication date: 22 April 2020

Published in: Opuscula Mathematica (Search for Journal in Brave)

zbMATH Keywords

Dirichlet conditionsNeumann conditionssemilinear equations with Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (3)

Nonnegative solutions for a class of semipositone nonlinear elliptic equations in bounded domains of R^{n} ⋮ Existence of positive continuous weak solutions for some semilinear elliptic eigenvalue problems ⋮ On the nonlinear perturbations of self-adjoint operators

Cites Work

• Functional analysis, Sobolev spaces and partial differential equations
• Solvability of abstract semilinear equations by a global diffeomorphism theorem
• On the Diffeomorphisms Between Banach and Hilbert Spaces
• Global diffeomorphism theorem applied to the solvability of discrete and continuous boundary value problems
• A global diffeomorphism theorem and a unique weak solution of Dirichlet problem
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