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We establish the existence of at least three nontrivial solutions for a nonvariational quasilinear elliptic system with homogeneous Dirichlet boundary condition. Two of these solutions are of opposite constant sign… Click to show full abstract
We establish the existence of at least three nontrivial solutions for a nonvariational quasilinear elliptic system with homogeneous Dirichlet boundary condition. Two of these solutions are of opposite constant sign and the third one is nodal in an appropriate sense provided that a suitable location occurs. The approach combines the methods of sub-supersolution and Leray–Schauder topological degree.
Keywords:
solutions nonvariational;
nonvariational quasilinear;
elliptic systems;
multiple solutions;
quasilinear elliptic
Journal Title: Mediterranean Journal of Mathematics
Year Published: 2018
Link to full text (if available)
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Journal Title: Mediterranean Journal of Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!