| Citation: |
Anran Li, Chongqing Wei, Leiga Zhao. NONTRIVIAL GENERALIZED SOLUTION OF SCHRÖDINGER-POISSON SYSTEM IN $\mathbb{R}^3$ WITH ZERO MASS AND PERIODIC POTENTIAL[J]. Journal of Applied Analysis & Computation, 2023, 13(6): 3491-3503. doi: 10.11948/20230122
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NONTRIVIAL GENERALIZED SOLUTION OF SCHRÖDINGER-POISSON SYSTEM IN $\mathbb{R}^3$ WITH ZERO MASS AND PERIODIC POTENTIAL
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Abstract
In this paper, we are concerned with a class of Schrödinger-Poisson systems in $\mathbb{R}^3$ with zero mass and periodic potential. Under some 3-superlinear assumptions on the nonlinearity, one nontrivial generalized solution is obtained by a combination of variational methods and perturbation method.
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References
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Anran Li, Chongqing Wei, Leiga Zhao. NONTRIVIAL GENERALIZED SOLUTION OF SCHRÖDINGER-POISSON SYSTEM IN $\mathbb{R}^3$ WITH ZERO MASS AND PERIODIC POTENTIAL[J]. Journal of Applied Analysis & Computation, 2023, 13(6): 3491-3503. doi: 10.11948/20230122
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