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

Published 31 Aug 2020 in math.AP | (2008.13323v1)

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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Authors (3)

  1. Le Cong Nhan 
  2. Ky Ho 
  3. Le Xuan Truong 

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