On the Laplace equation with a supercritical nonlinear Robin boundary condition in the half-space

DOI10.1007/s00526-012-0531-2zbMath1269.31002OpenAlexW1996388828WikidataQ115387480 ScholiaQ115387480MaRDI QIDQ353121

Everaldo S. Medeiros, Lucas C. F. Ferreira, Marcelo Montenegro

Publication date: 12 July 2013

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-012-0531-2

zbMATH Keywords

Laplace equationboundary problem

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (4)

ON A CLASS OF ELLIPTIC SYSTEM OF SCHRÖDINGER–POISSON TYPE ⋮ On singular elliptic boundary value problems via a harmonic analysis approach ⋮ Nonlinear biharmonic equation in half-space with rough Neumann boundary data and potentials ⋮ On a nonlinear Laplace equation related to the boundary Yamabe problem in the upper-half space

Cites Work

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• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• The gradient flow motion of boundary vortices
• Very weak solutions to elliptic equations with nonlinear Neumann boundary conditions
• Critical points of the regular part of the harmonic Green function with Robin boundary condition
• The Neumann problem for a function harmonic in Rsup(n) x (0,infinity)
• Potential techniques for boundary value problems on \(C^1\)-domains
• The Peierls-Nabarro and Benjamin-Ono equations
• A global result applicable to non-linear Steklov problems
• Boundary vortices in thin magnetic films
• Properties of positive harmonic functions on the half-space with a nonlinear boundary condition
• Classification of solutions for an integral equation
• Layer solutions in a half‐space for boundary reactions
• A Note on Harmonic Functions and a Hydrodynamical Application
• Sharp growth estimates for modified Poisson integrals in a half space

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