Variational method for proving the existence of a nonlocal solution of a boundary value problem for a quasilinear partial differential equation
type: Item
instance of: scholarly article
title: Variational method for proving the existence of a nonlocal solution of a boundary value problem for a quasilinear partial differential equation
zbMATH Open document ID: 1234.35104
DOI: 10.1134/S0012266111060097
author: S. N. Timergaliev
author: I. R. Mavleev
published in: Differential Equations
publication date: 2011-11-24T00:00:00Z
review text: In the present paper it is studied the solvability of a boundary value problem for a class of second-order quasilinear differential equations. The main purpose is to prove the existence of nonlocal solutions. The proof relies on variational arguments and consists of establishing the existence of an absolute minimum of the associated energy functional.
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 5978714
zbMATH Keywords: nonlocal solution
zbMATH Keywords: quasilinear equation
zbMATH Keywords: variational methods
MaRDI profile type: Publication
Wikidata QID: Q115252304
cites work: Q3280274
full work available at URL: s0012266111060097
OpenAlex ID: W2043205497
description: scientific article; zbMATH DE number 5978714