Ground state sign-changing solutions for elliptic equations with logarithmic nonlinearity (Q2416449)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ground state sign-changing solutions for elliptic equations with logarithmic nonlinearity |
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Ground state sign-changing solutions for elliptic equations with logarithmic nonlinearity (English)
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23 May 2019
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The authors establish a multiplicity result for a semilinear elliptic equation with logarithmic nonlinearity under homogeneous Dirichlet boundary condition on a bounded domain. Specifically, they prove the existence of a ground state solution and a sigh-changing solution with exactly two nodal domains.
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logarithmic nonlinearity
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ground state solution
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sign-changing solution
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