Positive and multiple solutions of subcritical Emden-Fowler equations
type: Item
instance of: scholarly article
title: Positive and multiple solutions of subcritical Emden-Fowler equations
zbMATH Open document ID: 0839.35040
author: S. B. Tshinanga
published in: Differential and Integral Equations
publication date: 1996-02-13T00:00:00Z
review text: The author studies the semilinear elliptic equation \[ - \Delta u= f(x, u)\quad\text{in } \mathbb{R}^n,\;n\geq 3,\;u\in L^{2n/(n- 2)}(\mathbb{R}^n),\;\nabla u\in L^2(\mathbb{R}^n). \] Under several conditions on \(f\) the existence of a nontrivial solution is obtained. If in addition \(f\) is odd in the second variable, the existence of infinitely many solutions is proved.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 844433
zbMATH Keywords: infinitely many solutions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 844433