Local Boundedness of a Direction Dependent Double Phase Nonlocal Elliptic Equation

2025/04/14 by Bahja, Hamid El
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2504.10740

Abstract

This paper investigates the local boundedness of weak solutions to a direction-dependent double-phase nonlocal elliptic equation. By employing refined energy estimates and De Giorgi-type techniques, we establish the local boundedness of these solutions.

Citations

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Related

• Local boundedness of variational solutions to nonlocal double phase parabolic equations
• Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations
• Self-improving Inequalities for bounded weak solutions to nonlocal double phase equations
• On equivalence of weak and viscosity solutions to nonlocal double phase problems with nonhomogeneous data
• Nonlocal Harnack inequalities for nonlocal double phase equations I ; with positive bounded modulating coefficient with no Hölder condition