Existence and uniqueness of positive solutions of semilinear elliptic equations with Coulomb potentials on \({\mathbb{R}}^ 3\)

DOI10.1007/BF01211596zbMath0596.35014WikidataQ59158391 ScholiaQ59158391MaRDI QIDQ1078396

Lorenzo Jeanneret, Rafael D. Benguria

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

positive solutionsemilinear elliptic equationradial symmetryThomas-Fermi-Dirac-von Weizsäcker equationcusp condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Boundary value problems for linear higher-order PDEs (35G15)

Related Items

On nonlinear Schrödinger equations with attractive inverse-power potentials ⋮ Orbital stability of standing waves for Schrödinger type equations with slowly decaying linear potential ⋮ On nonlinear Schrödinger equations with repulsive inverse-power potentials ⋮ A nonlinear Schrödinger equation with Coulomb potential ⋮ Properties of the positive solution of a generalized Thomas-Fermi-von Weizsäcker equation

Cites Work

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• Thomas-fermi and related theories of atoms and molecules