THE STUDY OF A WAVE EQUATION WITH JUMPING NONLINEARITY BY DUALITY FORMULATION

TitleTHE STUDY OF A WAVE EQUATION WITH JUMPING NONLINEARITY BY DUALITY FORMULATION
Publication TypeJournal Article
Year of Publication2005
AuthorsChoi, Q-H
Secondary AuthorsXu, H
Secondary TitleCommunications in Applied Analysis
Volume9
Issue2
Start Page147
Pagination160
Date Published04/2005
Type of Workscientific: mathematics
ISSN1083–2564
AMS35B10, 35B38, 35L70
Abstract

We investigate the existence of nontrivial solutions of a nonlinear wave equation under Dirichlet boundary condition with jumping nonlinearity. We use the fact that the solutions of the equation coincide with the critical points of its corresponding dual functional. Here we apply the Mountain Pass Theorem to find the nontrivial solutions.

 

URLhttp://www.acadsol.eu/en/articles/9/2/1.pdf
Short TitleThe Study of a Wave Equation
Refereed DesignationRefereed
Full Text

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