Critical points of the regular part of the harmonic Green function with Robin boundary condition

DOI10.1016/j.jfa.2007.11.023zbMath1159.35020OpenAlexW2043943414MaRDI QIDQ957964

Marcelo Montenegro, Juan Dávila, Michał Kowalczyk

Publication date: 2 December 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/141956

zbMATH Keywords

critical pointsRobin boundary conditionregular partharmonic Green's function

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fundamental solutions to PDEs (35A08) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (7)

On the Laplace equation with a supercritical nonlinear Robin boundary condition in the half-space ⋮ Multiple blowing-up and concentrating solutions for Liouville-type equations with singular sources under mixed boundary conditions ⋮ New type of solutions to a slightly subcritical Hénon type problem on general domains ⋮ Concentrating solutions for an exponential nonlinearity with Robin boundary condition ⋮ Concentrating solutions of the Liouville equation with Robin boundary condition ⋮ Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities ⋮ Concentrating solutions for a planar elliptic problem with large nonlinear exponent and Robin boundary condition

Cites Work

• Unnamed Item
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• On the nondegeneracy of the critical points of the Robin function in symmetric domains
• Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
• Variational reduction for Ginzburg-Landau vortices
• Convexity of solutions of semilinear elliptic equations
• Construction of singular limits for a semilinear elliptic equation in dimension 2
• On the strict concavity of the harmonic radius in dimension \(N\geq 3\)
• On the existence of blowing-up solutions for a mean field equation
• The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
• Singular limits in Liouville-type equations
• Isoperimetric Inequalities for a Nonlinear Eigenvalue Problem
• Harmonic Radius and Concentration of Energy; Hyperbolic Radius and Liouville’s Equations $\Delta U = e^U $ and $\Delta U = U^{\tfrac{{n + 2}}{{n - 2}}} $

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