Lipschitz continuity of minimizers in a problem with nonstandard growth
In this paper we obtain the Lipschitz continuity of nonnegative local minimizers of the functional $J(v)=\int_\Omega\big( F(x, v, \nabla v)+\lambda(x)\chi_{\{v>0\}}\big)\,dx$, under nonstandard growth conditions of the energy function $F(x,s,\eta)$ and $0<\lambda_{\min}\le \lambda(x)\le...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2021-03-01
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| Series: | Mathematics in Engineering |
| Subjects: | |
| Online Access: | http://www.aimspress.com/article/doi/10.3934/mine.2021009?viewType=HTML |