A Nontrivial Solution of a Quasilinear Elliptic Equation Via Dual Approach
- 1 Downloads
In this article, we are concerned with the existence of solutions of a quasilinear elliptic equation in ℝN which includes the so-called modified nonlinear Schrödinger equation as a special case. Combining the dual approach and the nonsmooth critical point theory, we obtain the existence of a nontrivial solution.
Key wordsnontrivial solution quasilinear elliptic equation nonsmooth critical point theory dual approach
2010 MR Subject Classification35J20 35J62 49J52
Unable to display preview. Download preview PDF.
The authors would like to thank Dr. KeWu for helpful suggestions on the present article, as well as bringing their attention to  and .
- Canino A, Degiovanni M. Nonsmooth critical point theory and quasilinear elliptic equations//Topological Methods in Differential Equations and Inclusions. Netherlands: Springer, 1995: 1–50Google Scholar
- Lu W D. Variational Methods in Differential Equations. Scientific Publishing House in China, 2002Google Scholar
- Willem M. Minimax theorems//Progress in Nonlinear Differential Equations and their Applications Vol 24, Boston, MA: Birkhäuser Boston, Inc, 1996Google Scholar