25 citations · 65 across the 40 of their papers we have counts for
49 papers
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…
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…
Critical double phase problems involving sandwich-type nonlinearities
Csaba Farkas, Alessio Fiscella, Ky Ho +1
In this paper we study problems with critical and sandwich-type growth represented by \begin{align*} -\operatorname{div}\Big(|\nabla u|^{p-2}\nabla u + a(x)|\nabla u|^{q-2}\nabla u…
Logarithmic double phase problems with generalized critical growth
Rakesh Arora, Ángel Crespo-Blanco, Patrick Winkert
In this paper we study logarithmic double phase problems with variable exponents involving nonlinearities that have generalized critical growth. We first prove new continuous and c…
Degenerate singular Kirchhoff problems in Musielak-Orlicz spaces
Umberto Guarnotta, Patrick Winkert
In this paper we study quasilinear elliptic Kirchhoff equations driven by a non-homogeneous operator with unbalanced growth and right-hand sides that consist of sub-linear, possibl…
Double phase problems with variable exponents depending on the solution and the gradient in the whole space
Ala Eddine Bahrouni, Anouar Bahrouni, Patrick Winkert
In this paper, we establish continuous and compact embeddings for a new class of Musielak-Orlicz Sobolev spaces in unbounded domains driven by a double phase operator with variable…