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math.AP2023★ 1 cited
On logarithmic double phase problems
Rakesh Arora, Ángel Crespo-Blanco, Patrick Winkert
In this paper we introduce a new logarithmic double phase type operator of the form\begin{align*}\mathcal{G}u:=-\operatorname{div}\left(|\nabla u|^{p(x)-2}\nabla u+μ(x)\left[\log(e…
math.AP2023★ 1 cited
Superlinear elliptic equations with unbalanced growth and nonlinear boundary condition
Eleonora Amoroso, Ángel Crespo-Blanco, Patrizia Pucci +1
In this paper we first introduce an innovative equivalent norm in the Musielak-Orlicz Sobolev spaces in a very general setting and we then present a new result on the boundedness o…