Affiliation:
1. College of Science, Southwest Petroleum University, Chengdu, Sichuan 610500, China
2. Institute of Nonlinear Dynamics, Southwest Petroleum University, Chengdu, Sichuan 610500, China
Abstract
In this study, we consider the following sublinear Schrödinger equations−Δu+Vxu=fx,u,for x∈ℝN,ux⟶0,asu⟶∞,wherefx,usatisfies some sublinear growth conditions with respect touand is not required to be integrable with respect tox. Moreover,Vis assumed to be coercive to guarantee the compactness of the embedding from working space toLpℝNfor allp∈1,2∗. We show that the abovementioned problem admits at least one solution by using the linking theorem, and there are infinitely many solutions whenfx,uis odd inuby using the variant fountain theorem.
Funder
National Natural Science Foundation of China
Subject
General Engineering,General Mathematics
Cited by
1 articles.
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