Nonnegative solutions of semilinear elliptic equations in half-spaces

DOI10.1016/J.MATPUR.2016.03.014zbMath1348.35069OpenAlexW2310380162MaRDI QIDQ311158

Jorge García-Melián, Carmen Cortázar, Manuel Elgueta

Publication date: 29 September 2016

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2016.03.014

zbMATH Keywords

unique continuationnonnegative solutionseigenvalue problemshalf-spacemoving planes

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Qualitative properties of solutions to partial differential equations (35B99) Semilinear elliptic equations (35J61)

Related Items (9)

Some results about semilinear elliptic problems on half-spaces ⋮ A note on one-dimensional symmetry for Hamilton-Jacobi equations with extremal Pucci operators and application to Bernstein type estimate ⋮ On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results ⋮ Qualitative properties of nonnegative solutions of some semilinear elliptic equations in cylindrical domains ⋮ A note on the monotonicity of solutions for fractional equations in half-spaces ⋮ Monotonicity and symmetry of nonnegative solutions to \(-\Delta u=f(u)\) in half-planes and strips ⋮ Monotonicity of solutions for some nonlocal elliptic problems in half-spaces ⋮ Symmetry results in the half-space for a semi-linear fractional Laplace equation ⋮ Second order estimate on transition layers

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