Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian
A class of nonlinear Neumann problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper is the variational method for locally Lipschitz functions. More precisely, Weierstrass theorem and Mountain Pass t...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/753262 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832549501091446784 |
|---|---|
| author | Qing-Mei Zhou |
| author_facet | Qing-Mei Zhou |
| author_sort | Qing-Mei Zhou |
| collection | DOAJ |
| description | A class of nonlinear Neumann problems driven by p(x)-Laplacian with
a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper
is the variational method for locally Lipschitz functions. More precisely, Weierstrass theorem and Mountain Pass
theorem are used to prove the existence of at least two nontrivial solutions. |
| format | Article |
| id | doaj-art-445a28583cef413dadb1a41352067252 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-445a28583cef413dadb1a413520672522025-02-03T06:11:09ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/753262753262Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-LaplacianQing-Mei Zhou0Library, Northeast Forestry University, Harbin 150040, ChinaA class of nonlinear Neumann problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper is the variational method for locally Lipschitz functions. More precisely, Weierstrass theorem and Mountain Pass theorem are used to prove the existence of at least two nontrivial solutions.http://dx.doi.org/10.1155/2013/753262 |
| spellingShingle | Qing-Mei Zhou Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian The Scientific World Journal |
| title | Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian |
| title_full | Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian |
| title_fullStr | Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian |
| title_full_unstemmed | Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian |
| title_short | Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian |
| title_sort | multiple solutions for nonhomogeneous neumann differential inclusion problems by the p x laplacian |
| url | http://dx.doi.org/10.1155/2013/753262 |
| work_keys_str_mv | AT qingmeizhou multiplesolutionsfornonhomogeneousneumanndifferentialinclusionproblemsbythepxlaplacian |