Existence of solutions for non-periodic superlinear Schrödinger equations without (AR) condition |
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| Authors: | Wan Lili Tang Chunlei |
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| Institution: | 1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China;2. School of Science, Southwest University of Science and Technology, Mianyang 621010, China |
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| Abstract: | The existence of solutions is obtained for a class of the non-periodic Schrödinger equation −Δu + V(x)u = f(x, u), x ∈ RN, by the generalized mountain pass theorem, where V is large at infinity and f is superlinear as |u| → ∞. |
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| Keywords: | Schrö dinger equation superlinear generalized mountain pass theorem |
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