A manifold of ground-state type solutions of semilinear elliptic equations
type: Item
instance of: scholarly article
title: A manifold of ground-state type solutions of semilinear elliptic equations
zbMATH Open document ID: 0878.35045
published in: Doklady Mathematics
publication date: 1997-12-18T00:00:00Z
review text: We consider the problem \[ -\Delta u(z,x) =g\bigl(u(z,x) \bigr),\;(z,x) \in(-l,l) \times \mathbb{R}^N, \quad u\in H^1\bigl((-l,l) \times\mathbb{R}^N \bigr) \] under periodic boundary conditions with respect to \(z\). The behaviour of ground state solutions to this problem is studied as \(l\to\infty\).
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 1037710
zbMATH Keywords: ground state
author: Ya. Sh. Il'yasov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1037710