A nonexistence result for a nonlinear elliptic equation with singular and decaying potential

DOI10.1142/S0219199714500242zbMath1321.35052arXiv1303.2146MaRDI QIDQ5264560

Michela Guida, Sergio Rolando, Marino Badiale

Publication date: 27 July 2015

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2146

zbMATH Keywords

Bessel functionsradial solutionsemilinear elliptic PDEsingular vanishing potential

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) NLS equations (nonlinear Schrödinger equations) (35Q55) Other functions coming from differential, difference and integral equations (33E30) Semilinear elliptic equations (35J61) Nonlinear integral equations (45G99)

Related Items

Nonlinear Schrödinger equations without compatibility conditions on the potentials, Compactness and existence results in weighted Sobolev spaces of radial functions. II: Existence, Nehari–Pohožaev-type ground state solutions of Kirchhoff-type equation with singular potential and critical exponent, Multiple nonradial solutions for a nonlinear elliptic problem with singular and decaying radial potential, Compactness and existence results in weighted Sobolev spaces of radial functions. I: Compactness, Radial nonlinear elliptic problems with singular or vanishing potentials, Positive solution to Schrödinger equation with singular potential and double critical exponents, Ground state solution of critical Schrödinger equation with singular potential, Multiple nonradial solutions for a nonlinear elliptic radial problem: an improved result, Diagonals of Green's functions and applications

Cites Work

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