Nontrivial Solutions for Potential Systems Involving the Mean Curvature Operator in Minkowski Space-Reference-Cited by-同舟云学术

Nontrivial Solutions for Potential Systems Involving the Mean Curvature Operator in Minkowski Space

Published:2017-02-04 Issue:4 Volume:17 Page:769-780
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Gurban Daniela¹,Jebelean Petru¹,Şerban Călin¹

Affiliation:

1. Department of Mathematics , West University of Timişoara , 4, Blvd. V. Pârvan 300223 , Timişoara , Romania

Abstract

Abstract In this paper, we use the critical point theory for convex, lower semicontinuous perturbations of C 1

{C^{1}}

-functionals to obtain the existence of multiple nontrivial solutions for one parameter potential systems involving the operator u ↦ div ⁡ ( ∇ ⁡ u 1 - | ∇ ⁡ u | 2 )

{u\mapsto\operatorname{div}(\frac{\nabla u}{\sqrt{1-|\nabla u|^{2}}})}

. The solvability of a general non-potential system is also established.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2016-6025/pdf

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