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Existence Results for Quasilinear Elliptic Equations with Discontinuous Nonlinearities |
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| Authors: | Hong-Kun Xu |
| Affiliation: | Department of Mathematics and Applied Mathematics , University of Durban-Westville , Private Bag X54001, Durban , 4000 , South Africa |
| Abstract: | The nonsmooth critical point theory is applied to prove the existence of solutions and multiple solutions of a quasilinear elliptic equation with discontinuous nonlinearities. |
| Keywords: | Quasilinear Elliptic Equation Discontinuous Nonlinearity Critical Point Palais-Smale Condition Mountain Pass Theorem Saddle Point Theorem |