Properties of positive harmonic functions on the half-space with a nonlinear boundary condition

DOI10.1016/j.jde.2009.07.006zbMath1181.35104OpenAlexW1980606897MaRDI QIDQ2654047

João Marcos Bezerra do Ó, Emerson A. M. Abreu, Everaldo S. Medeiros

Publication date: 15 January 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.07.006

zbMATH Keywords

minimaxharmonic functionground statecritical pointsasymptotic behaviorsmoving planes

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)

Related Items (8)

Asymptotic behavior of least energy solutions for a singularly perturbed problem with nonlinear boundary condition ⋮ On the Laplace equation with a supercritical nonlinear Robin boundary condition in the half-space ⋮ Harmonic functions with nonlinear Neumann boundary condition and their Morse indices ⋮ On a boundary value problem in the half-space ⋮ Morse index and symmetry for elliptic problems with nonlinear mixed boundary conditions ⋮ A weighted Hardy type inequality and its applications ⋮ The Laplace equation in the half-space involving nonlinearities without the Ambrosetti and Rabinowitz condition ⋮ Asymptotic Behavior of Sobolev Trace Embeddings in Expanding Domains

Cites Work

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• A symmetry problem in potential theory
• Théorèmes de trace et d'interpolation. IV
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• On the shape of least‐energy solutions to a semilinear Neumann problem
• The Profile Near Blowup Time for Solution of the Heat Equation with a Nonlinear Boundary Condition
• On harnack type inequalities and their application to quasilinear elliptic equations

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