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Multiple solutions of nonlinear elliptic equations for oscillation problems
- Source :
-
Journal of Mathematical Analysis & Applications . Mar2005, Vol. 303 Issue 2, p477-485. 9p. - Publication Year :
- 2005
-
Abstract
- Abstract: We discussed oscillating equations with Neumann boundary value in [Nonlinear Anal. 54 (2003) 431–443] and [J. Math. Anal. Appl. 298 (2004) 14–32] and prove the existence of infinitely many nonconstant solutions. However, it seems difficult to find infinitely many disjoint order intervals for oscillating equations with Dirichlet boundary value. To get rid of this difficulty, in this paper, we build up a mountain pass theorem in half-order intervals and use it to study oscillating problems with Dirichlet boundary value in which we only have the existence of super-solutions (or sub-solutions) and obtain new results on the exactly infinitely many solutions. [Copyright &y& Elsevier]
- Subjects :
- *VON Neumann algebras
*BOUNDARY value problems
*EQUATIONS
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 303
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 19204147
- Full Text :
- https://doi.org/10.1016/j.jmaa.2004.08.047