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math.AP2026
Hölder regularity for logarithmic double phase problems
Ky Ho, Yun-Ho Kim, Patrick Winkert
We investigate boundedness and regularity properties of weak solutions to a class of generalized logarithmic double phase equations with variable exponents. The considered operator…
math.AP2026
Mixed double phase equations with local and nonlocal operators
Anupma Arora, Shilpa Gupta, Patrick Winkert
In this paper, we study a new class of mixed double phase problems that combine local and nonlocal operators. We consider two different models. The first model is driven by the fra…