Article ID Journal Published Year Pages File Type
8053978 Applied Mathematics Letters 2018 9 Pages PDF
Abstract
In this paper, we study the existence of ground state solutions of nonlinear elliptic equation with logarithmic nonlinearity by the Linking theorem and logarithmic Sobolev inequality. Our results are quite different from those in the case of polynomial nonlinearity.
Keywords
Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Preview
Ground state solution for a fourth-order nonlinear elliptic problem with logarithmic nonlinearity
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