scientific article; zbMATH DE number 6151719

zbMath1268.35068MaRDI QIDQ4913610

A. Derlet, Denis Bonheure, Colette De Coster

Publication date: 8 April 2013

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

energy functionalquasilinear elliptic equationPalais-Smale conditioncritical exponentmean curvature equationLorentz-Minkowski spacesymmetric rearrangementLusternik-Schnirelmann theory

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with relativity and gravitational theory (35Q75) Quasilinear elliptic equations with mean curvature operator (35J93)

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On the electrostatic Born-Infeld equation with extended charges ⋮ On a prescribed mean curvature equation in Lorentz-Minkowski space ⋮ Oscillating solutions for prescribed mean curvature equations: Euclidean and Lorentz-Minkowski cases ⋮ Ground state solutions for the Hénon prescribed mean curvature equation ⋮ On the Born-Infeld equation for electrostatic fields with a superposition of point charges ⋮ Born-Infeld problem with general nonlinearity ⋮ Existence and multiplicity of entire radial spacelike graphs with prescribed mean curvature function in certain Friedmann–Lemaître–Robertson–Walker spacetimes ⋮ Ground state solution for a problem with mean curvature operator in Minkowski space ⋮ On the regularity of the minimizer of the electrostatic Born-Infeld energy ⋮ Spacelike graphs with prescribed mean curvature on exterior domains in the Minkowski spacetime ⋮ Heteroclinic solutions of singular quasilinear bistable equations ⋮ Entire spherically symmetric spacelike graphs with prescribed mean curvature function in Schwarzschild and Reissner–Nordström spacetimes ⋮ Bifurcation and entire hypersurfaces of mean curvature equation in Minkowski space ⋮ Some quasilinear elliptic equations involving multiple $p$-Laplacians

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