22 citations · 26 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Nehari manifold approach for superlinear double phase problems with variable exponents
Ángel Crespo-Blanco, Patrick Winkert
In this paper we consider quasilinear elliptic equations driven by the variable exponent double phase operator with superlinear right-hand sides. Under very general assumptions on…
Parametric superlinear double phase problems with singular term and critical growth on the boundary
Ángel Crespo-Blanco, Nikolaos S. Papageorgiou, Patrick Winkert
In this paper we study quasilinear elliptic equations driven by the double phase operator along with a reaction that has a singular and a parametric superlinear term and with a non…
A new class of double phase variable exponent problems: Existence and uniqueness
Ángel Crespo-Blanco, Leszek Gasiński, Petteri Harjulehto +1
In this paper we introduce a new class of quasilinear elliptic equations driven by the so-called double phase operator with variable exponents. We prove certain properties of the c…