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arXiv · 1803.05687

A weighted anisotropic variant of the Caffarelli-Kohn-Nirenberg inequality and applications

Anouar Bahrouni·Vicenţiu D. Rădulescu·Dušan D. Repovš
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Abstract

We present a weighted version of the Caffarelli-Kohn-Nirenberg inequality in the framework of variable exponents. The combination of this inequality with a variant of the fountain theorem, yields the existence of infinitely many solutions for a class of non-homogeneous problems with Dirichlet boundary condition.

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Anouar Bahrouni, Vicenţiu D. Rădulescu, Dušan D. Repovš. 2018-03-15. A weighted anisotropic variant of the Caffarelli-Kohn-Nirenberg inequality and applications. https://doi.org/10.1088/1361-6544%2Faaa5dd

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