On the regularity and existence of weak solutions for a class of degenerate singular elliptic problem

Garain, Prashanta

doi:10.1007/s00229-023-01504-4

manuscripta math.

2023

DOI: 10.1007/s00229-023-01504-4

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On the regularity and existence of weak solutions for a class of degenerate singular elliptic problem

Prashanta Garain

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Cited by 2 publications

References 42 publications

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Mixed Anisotropic and Nonlocal Sobolev Type Inequalities with Extremal

Garain

2024

J Math Sci

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Mixed Anisotropic and Nonlocal Sobolev Type Inequalities with Extremal

Garain

2024

J Math Sci

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On the regularity theory for mixed anisotropic and nonlocal p-Laplace equations and its applications to singular problems

Garain,

Kim,

Kinnunen

2023

Forum Mathematicum

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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.

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On the regularity and existence of weak solutions for a class of degenerate singular elliptic problem

Cited by 2 publications

References 42 publications

Mixed Anisotropic and Nonlocal Sobolev Type Inequalities with Extremal

Mixed Anisotropic and Nonlocal Sobolev Type Inequalities with Extremal

On the regularity theory for mixed anisotropic and nonlocal p-Laplace equations and its applications to singular problems

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