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arXiv · 2008.13323

Regularity of solutions for a class of quasilinear elliptic equations related to Caffarelli-Kohn-Nirenberg inequality

Le Cong Nhan·Ky Ho·Le Xuan Truong
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Abstract

This paper is concerned with a class of quasilinear elliptic equations involving some potentials related to the Caffarelli-Korn-Nirenberg inequality. We prove the local boundedness and H\"older continuity of weak solutions by using the classical De Giorgi techniques. Our result extends the results of Serrin \cite{Serrin64} and Corolado and Peral \cite{CP04}.

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Le Cong Nhan, Ky Ho, Le Xuan Truong. 2020-08-31. Regularity of solutions for a class of quasilinear elliptic equations related to Caffarelli-Kohn-Nirenberg inequality. https://arxiv.org/abs/2008.13323

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