Showing 2023 · math.APShow all
3 papers · 2 filters
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…
math.AP2023
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…