NONTRIVIAL GENERALIZED SOLUTION OF SCHRÖDINGER-POISSON SYSTEM IN <inline-formula><tex-math id="M1">$\mathbb{R}^3$</tex-math></inline-formula> 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.
期刊介绍：
The Journal of Applied Analysis and Computation (JAAC) is aimed to publish original research papers and survey articles on the theory, scientific computation and application of nonlinear analysis, differential equations and dynamical systems including interdisciplinary research topics on dynamics of mathematical models arising from major areas of science and engineering. The journal is published quarterly in February, April, June, August, October and December by Shanghai Normal University and Wilmington Scientific Publisher, and issued by Shanghai Normal University.
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