Three solutions for a class of quasilinear elliptic systems in Orlicz–Sobolev spaces
- Resource Type
- Authors
- Olfa Allegue; Mounir Bezzarga
- Source
- Complex Variables and Elliptic Equations. 58:1215-1227
- Subject
- Numerical Analysis
Pure mathematics
Applied Mathematics
Mathematical analysis
Elliptic boundary value problem
Domain (mathematical analysis)
Sobolev space
Computational Mathematics
Critical point (set theory)
Bounded function
Neumann boundary condition
p-Laplacian
Analysis
Mathematics
Sobolev spaces for planar domains
- Language
- ISSN
- 1747-6941
1747-6933
We study the solutions of the Neumann problem for a class of elliptic partial differential systems on a bounded domain and obtain three solutions under appropriate hypotheses. Our technical approach is based on the general three critical point theorem obtained by B. Ricceri in Orlicz–Sobolev spaces.