18 citations · 21 across the 10 of their papers we have counts for
16 papers
Binding Numbers of Tight Contact Structures on
Csaba Daniel Farkas
We study binding numbers of tight contact structures on the lens spaces . Using the invariant, together with restrictions on planar monodromy factorizations and the D…
Sharp spectral gap estimates for higher-order operators on Cartan-Hadamard manifolds
Csaba Farkas, Sándor Kajántó, Alexandru Kristály
The goal of this paper is to provide sharp spectral gap estimates for problems involving higher-order operators (including both the clamped and buckling plate problems) on Cartan-H…
On a class of critical double phase problems
Csaba Farkas, Alessio Fiscella, Patrick Winkert
In this paper we study a class of double phase problems involving critical growth, namely $-\text{div}\big(|\nabla u|^{p-2} \nabla u+ μ(x) |\nabla u|^{q-2} \nabla u\big)=λ|u|^{\var…
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…
Critical elliptic equations on non-compact Finsler manifolds
Csaba Farkas
In the present paper, we deal with a quasilinear elliptic equation involving a critical Sobolev exponent on non-compact Randers spaces. Under very general assumptions on the pertur…
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.
Energy properties of critical Kirchhoff problems with applications
Francesca Faraci, Csaba Farkas, Alexandru Kristály
In this paper we fully characterize the sequentially weakly lower semicontinuity of the parameter-depending energy functional associated with the critical Kirchhoff problem. We als…
Schrodinger-Maxwell systems on compact Riemannian manifolds
Csaba Farkas
In this paper we are focusing to the following Schrödinger-Maxwell system : \[ \begin{cases} -Δ_{g}u+β(x)u+euϕ=Ψ(λ,x)f(u) & \mathrm{in}\ M -Δ_{g}ϕ+…
A characterization related to Schrödinger equations on Riemannian manifolds
Francesca Faraci, Csaba Farkas
In this paper we consider the following problem $$\begin{cases} -Δ_{g}u+V(x)u=λα(x)f(u), & \mbox{in }M\\ u\geq0, & \mbox{in }M\\ u\to0, & \mbox{as }d_{g}(x_{0},x)\to\infty \end{cas…
Multipolar Hardy inequalities on Riemannian manifolds
Francesca Faraci, Csaba Farkas, Alexandru Kristály
We prove multipolar Hardy inequalities on complete Riemannian manifolds, providing various curved counterparts of some Euclidean multipolar inequalities due to Cazacu and Zuazua [I…
Singular Poisson equations on Finsler-Hadamard manifolds
Csaba Farkas, Alexandru Kristály, Csaba Varga
In the first part of the paper we study the reflexivity of Sobolev spaces on non-compact and not necessarily reversible Finsler manifolds. Then, by using direct methods in the calc…
Schrödinger-Maxwell systems on Hadamard manifolds
Csaba Farkas, Alexandru Kristály
In this paper we study nonlinear Schrödinger-Maxwell systems on dimensional Hadamard manifolds, The main difficulty resides in the lack of compactness of such…