10 papers
Singular Finsler double phase problems with nonlinear boundary condition
Csaba Farkas, Alessio Fiscella, Patrick Winkert
In this paper we study a singular Finsler double phase problem with a nonlinear boundary condition and perturbations that have a type of critical growth, even on the boundary. Base…
An existence result for singular Finsler double phase problems
Csaba Farkas, Patrick Winkert
In this paper, we study a class of singular double phase problems defined on Minkowski spaces in terms of Finsler manifolds and with right-hand sides that allow a certain type of c…
Compact Sobolev embeddings on non-compact manifolds via orbit expansions of isometry groups
Csaba Farkas, Alexandru Kristály, Ágnes Mester
Given a complete non-compact Riemannian manifold with certain curvature restrictions, we introduce an expansion condition concerning a group of isometries of th…
Topological rigidity of compact manifolds supporting Sobolev-type inequalities
Csaba Farkas, Alexandru Kristály, Ágnes Mester
Let be an -dimensional compact Riemannian manifold with Ric. If supports an AB-type critical Sobolev inequality with Sobolev con…
On a critical Kirchhoff-type problem
Francesca Faraci, Csaba Farkas
In the present paper, we study a Kirchhoff type problem involving the critical Sobolev exponent. We give sufficient conditions for the sequentially weakly lower semicontinuity and…
On an open question of Ricceri concerning a Kirchhoff-type problem
Francesca Faraci, Csaba Farkas
In the present note we prove a multiplicity result for a Kirchhoff type problem involving a critical term, giving a partial positive answer to a problem raised by Ricceri.