11 papers
On sufficient "local" conditions for existence results to generalized -Laplace equations involving critical growth
Ky Ho, Inbo Sim
In this paper, we study the existence of multiple solutions to a generalized -Laplace equation with two parameters involving critical growth. More precisely, we give suff…
Regularity of solutions for a class of quasilinear elliptic equations related to Caffarelli-Kohn-Nirenberg inequality
Le Cong Nhan, Ky Ho, Le Xuan Truong
This paper is concerned with a class of quasilinear elliptic equations involving some potentials related to the Caffarelli-Korn-Nirenberg inequality. We prove the local boundedness…
On a -biharmonic problem of Kirchhoff type involving critical growth
Nguyen Thanh Chung, Ky Ho
We establish a concentration-compactness principle for the Sobolev space that is a tool for overcoming the lack of compactness of the cr…
Remarks on Eigenvalue Problems for Fractional -Laplacian
Anouar Bahrouni, Ky Ho
In this paper, we give some properties and remarks of the new fractional Sobolev spaces with variable exponents. We also study the eigenvalue problem involving the new fractional $…
The concentration-compactness principles for and application
Ky Ho, Yun-Ho Kim
We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain t…
A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional -Laplacian
Ky Ho, Yun-Ho Kim
We obtain fundamental imbeddings for the fractional Sobolev space with variable exponent that is a generalization of well-known fractional Sobolev spaces. As an application, we obt…