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An existence result for (p,q)-Laplace equations involving sandwich-type and critical growth
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2020-07-27 , DOI: 10.1016/j.aml.2020.106646
Ky Ho , Inbo Sim

We investigate the existence of a nontrivial nonnegative solution to (p,q)-Laplace equations involving two nonlinear terms, one grows as s with q<s<p and the other possibly has critical growth. This interesting case cannot be appeared in single m-Laplace equations and has not been studied under even the subcritical growth. Our argument is based on the concentration–compactness principle by P.L. Lions and the Ekeland variational principle.



中文翻译:

存在的结果 pq-涉及夹心型和临界增长的拉普拉斯方程

我们调查了一个非平凡非负解的存在 pq-涉及两个非线性项的拉普拉斯方程,一个随着 sq<s<p另一个可能有关键的增长。这个有趣的案例不能单出现-Laplace方程,甚至在亚临界增长下也没有进行研究。我们的论点是基于PL Lions的浓度-紧致原理和Ekeland变分原理。

更新日期:2020-07-27
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