Ground state solutions for nonlinear fractional Schrödinger equations involving critical growth
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Date
2017-03-24
Authors
Jin, Hua
Liu, Wenbin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article concerns the ground state solutions of nonlinear fractional Schrödinger equations involving critical growth. We obtain the existence of ground state solutions when the potential is not a constant and not radial. We do not use the Ambrosetti-Rabinowitz condition, or the monotonicity condition on the nonlinearity.
Description
Keywords
Fractional Schrödinger equations, Ground state solutions, Critical growth, Pohozaev identity
Citation
Jin, H., & Liu, W. (2017). Ground state solutions for nonlinear fractional Schrödinger equations involving critical growth. <i>Electronic Journal of Differential Equations, 2017</i>(80), pp. 1-19.
Rights
Attribution 4.0 International