arXiv subjects
Publications and source records attributed to Nguyen Thanh Chung.
In this paper, we study the effect of Hardy potential on the existence or non-existence of solutions to a fractional Laplacian problem involving a singular nonlinearity. Also, we mention a stability result.
We establish a concentration-compactness principle for the Sobolev space $W^{2,p(\cdot)}(Ω)\cap W_0^{1,p(\cdot)}(Ω)$ that is a tool for overcoming the lack of compactness of the critical Sobolev imbedding. Using this result we obtain several existence and multiplicity results for a class of Kirchhoff type problems involving $p(\cdot)$-biharmonic operator and critical growth.