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math.AP2023
Least energy sign-changing solution for degenerate Kirchhoff double phase problems
Ángel Crespo-Blanco, Leszek Gasiński, Patrick Winkert
In this paper we study the following nonlocal Dirichlet equation of double phase type \begin{align*} -ψ\left [ \int_Ω\left ( \frac{|\nabla u |^p}{p} + μ(x) \frac{|\nabla u|^q}{q}\r…
math.AP2023
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…