Harnack inequality and continuity of solutions to elliptic equations with nonstandard growth conditions and lower order terms

DOI10.1007/s10231-009-0111-zzbMath1187.35073OpenAlexW2074309167MaRDI QIDQ968036

Igor I. Skrypnik, Vitali Liskevich

Publication date: 3 May 2010

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-009-0111-z

zbMATH Keywords

continuityHarnack inequalityequations with nonstandard growth conditionsnonlinear Kato-class

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (6)

Positive solutions of quasilinear elliptic equations with Fuchsian potentials in Wolff class ⋮ Parabolic Harnack estimates for anisotropic slow diffusion ⋮ Counting eigenvalues of Schrödinger operators using the landscape function ⋮ Weak-type estimates and potential estimates for elliptic equations with drift terms ⋮ On the generalized \(\mathfrak{U}_{m, p}^f\) classes of De Giorgi-ladyzhenskaya-ural'tseva and pointwise estimates of solutions to high-order elliptic equations via Wolff potentials ⋮ Harnack inequality and continuity of solutions to quasi-linear degenerate parabolic equations with coefficients from Kato-type classes

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