Ground state solution for a fourth-order nonlinear elliptic problem with logarithmic nonlinearity |
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| Affiliation: | School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, China |
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| 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. |
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| Keywords: | Fourth-order elliptic equation Logarithmic nonlinearity Ground state solution |
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