On the regularity theory for mixed anisotropic and nonlocal p-Laplace equations and its applications to singular problems
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Forum Mathematicum, Volume 36, issue 3, pp. 697-715
Abstract
We establish existence results for a class of mixed anisotropic and nonlocal p-Laplace equations with singular nonlinearities. We consider both constant and variable singular exponents. Our argument is based on an approximation method. To this end, we also discuss the necessary regularity properties of weak solutions of the associated non-singular problems. More precisely, we obtain local boundedness of subsolutions, the Harnack inequality for solutions and the weak Harnack inequality for supersolutions.Description
Publisher Copyright: © 2023 Walter de Gruyter GmbH, Berlin/Boston 2023 Mixed anisotropic and nonlocal p-Laplace equation.
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Garain, P, Kim, W & Kinnunen, J 2024, 'On the regularity theory for mixed anisotropic and nonlocal p-Laplace equations and its applications to singular problems', Forum Mathematicum, vol. 36, no. 3, pp. 697-715. https://doi.org/10.1515/forum-2023-0151