Existence of a ground state solution for a class of $p$-laplace‎ ‎equations

Document Type : Research Paper

Author

Department of Hengyang normal university

Abstract

 According to a class of constrained‎
‎minimization problems‎, ‎the Schwartz symmetrization process and the‎
‎compactness lemma of Strauss‎, ‎we prove that there is a‎
‎nontrivial ground state solution for a class of $p$-Laplace‎
‎equations without the Ambrosetti-Rabinowitz condition‎.

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Main Subjects