Multiplicity of solutions for p-Laplacian equation in R with indefinite weight
نویسندگان
چکیده
In this article, we study the existence of infinitely many nontrivial solutions for a class of superlinear p-Laplacian equations −∆pu+ V (x)|u| p−2 u = f(x, u), where the primitive of the nonlinearity f is of subcritical growth near ∞ in u and the weight function V is allowed to be sign-changing. Our results extend the recent results of Zhang and Xu [Q. Y. Zhang, B. Xu, Multiplicity of solutions for a class of semilinear Schrödinger equations with sign-changing potential, J. Math. Anal. Appl 377(2011), 834–840]. AMS subject classifications: 35J60, 35J20, 47J30
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