2 papers
math.AP2026
Higher-order Sobolev and Rellich inequalities via iterated Talenti's principle
Csaba Farkas, Sándor Kajántó
In this paper we establish higher-order Sobolev and Rellich-type inequalities on non-compact Riemannian manifolds supporting an isoperimetric inequality. We highlight two notable s…
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…