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Existence results for degenerate $p(x)$-Laplace equations with Leray-Lions type operators

Analysis of PDEs 2017-03-08 v1
Authors: Ky Ho , Inbo Sim
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Abstract

We show the various existence results for degenerate p(x)p(x)-Laplace equations with Leray-Lions type operators. A suitable condition on degeneracy is discussed and proofs are mainly based on direct methods and critical point theories in Calculus of Variations. In particular, we investigate the various situations of the growth rates between principal operators and nonlinearities.

Keywords

degenerate p(x)-Laplace equations Leray-Lions operators existence results calculus of variations critical point theory direct methods growth rates

Cite

@article{arxiv.1602.05929,
  title  = {Existence results for degenerate $p(x)$-Laplace equations with Leray-Lions type operators},
  author = {Ky Ho and Inbo Sim},
  journal= {arXiv preprint arXiv:1602.05929},
  year   = {2017}
}

Comments

17 pages, 0 figures, accepted for publication in SCIENCE CHINA Mathematics

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