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math.AP2025
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…
math.AP2025
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…