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math.AP2016★ 2 cited
Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in
Kanishka Perera, Cyril Tintarev, Jun Wang +1
We study the existence of ground and bound state solutions for a system of coupled Schrödinger equations with linear and nonlinear couplings in . By studying the limi…
math.AP2016
On Caffarelli-Kohn-Nirenberg inequalities for block-radial functions
Cyril Tintarev, Leszek Skrzypczak
The paper provides weighted Sobolev inequalities of the Caffarelli-Kohn-Nirenberg type for functions with multi-radial symmetry. Similarly to the previously studied radial case, th…
math.AP2016
An Improved Leray-Trudinger Inequality
Arka Mallick, Cyril Tintarev
In this article, we have derived the following Leray-Trudinger type inequality on a bounded domain in containing the origin. \begin{align*} \displaystyle{\sup_{…