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math.AP2019
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…
math.AP2019
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…