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Homoclinic solutions for a class of nonlinear fourth order [formula omitted]-Laplacian differential equations.
- Source :
-
Applied Mathematics Letters . Oct2019, Vol. 96, p208-215. 8p. - Publication Year :
- 2019
-
Abstract
- The aim of this paper is the study of existence of homoclinic solutions for a class of nonlinear differential equations involving p -Laplacian. Under suitable growth conditions we prove that the considered problem has at least one nontrivial homoclinic solution. The proof is based on the mountain-pass theorem with Cerami's condition, Brezis–Lieb lemma and variational method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08939659
- Volume :
- 96
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics Letters
- Publication Type :
- Academic Journal
- Accession number :
- 136784626
- Full Text :
- https://doi.org/10.1016/j.aml.2019.05.004