24 citations · 38 across the 20 of their papers we have counts for
22 papers
Hölder regularity for logarithmic double phase problems
Ky Ho, Yun-Ho Kim, Patrick Winkert
We investigate boundedness and regularity properties of weak solutions to a class of generalized logarithmic double phase equations with variable exponents. The considered operator…
On Kirchhoff-type p(.)-Laplacian problems with sandwich-type and arbitrary growth
Ky Ho
We establish the existence of a positive bounded weak solution for a class of Kirchhoff-type -Laplacian problems involving an arbitrary growth and a sandwich-type growth…
Global boundedness for Generalized Schrödinger-Type Double Phase Problems in and Applications to Supercritical Double Phase Problems
Hoang Hai Ha, Ky Ho, Bui The Quan +1
We establish two global boundedness results for weak solutions to generalized Schrödinger-type double phase problems with variable exponents in under new critical gr…
On critical double phase problems in involving variable exponents
Hoang Hai Ha, Ky Ho
We establish a Lions-type concentration-compactness principle and its variant at infinity for Musielak-Orlicz-Sobolev spaces associated with a double phase operator with variable e…
Multiplicity results for double phase problems involving a new type of critical growth
Hoang Hai Ha, Ky Ho
Using variational methods, we obtain several multiplicity results for double phase problems that involve variable exponents and a new type of critical growth. This new critical gro…
Double phase anisotropic variational problems involving critical growth
Ky Ho, Yun-Ho Kim, Chao Zhang
In this paper, we investigate some existence results for double phase anisotropic variational problems involving critical growth. We first establish a Lions type concentration-comp…
On the Brezis-Nirenberg problem for the -Laplacian
Ky Ho, Kanishka Perera, Inbo Sim
We prove some existence and nonexistence results for a class of critical -Laplacian problems in a bounded domain. Our results extend and complement those in the literature f…
Infinitely many solutions to Kirchhoff double phase problems with variable exponents
Ky Ho, Patrick Winkert
In this work we deal with elliptic equations driven by the variable exponent double phase operator with a Kirchhoff term and a right-hand side that is just locally defined in terms…
New embedding results for double phase problems with variable exponents and a priori bounds for corresponding generalized double phase problems
Ky Ho, Patrick Winkert
In this paper we present new embedding results for Musielak-Orlicz Sobolev spaces of double phase type. Based on the continuous embedding of into $L^{\mathca…
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…
The boundedness and Hölder continuity of weak solutions to elliptic equations involving variable exponents and critical growth
Ky Ho, Yun-Ho Kim, Patrick Winkert +1
In this paper we prove the boundedness and Hölder continuity of quasilinear elliptic problems involving variable exponents for a homogeneous Dirichlet and a nonhomogeneous Neumann…
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…
Properties of eigenvalues and some regularities on fractional -Laplacian with singular weights
Ky Ho, Inbo Sim
We provide fundamental properties of the first eigenpair for fractional -Laplacian eigenvalue problems under singular weights, which is related to Hardy type inequality, and als…
Existence results for Schrödinger -Laplace equations involving critical growth in
Ky Ho, Yun-Ho Kim, Inbo Sim
We establish some existence results for Schrödinger -Laplace equations in with various potentials and critical growth of nonlinearity that may occur on some no…
On the eigenvalue problem involving the weighted -Laplacian in radially symmetric domains
Pavel Drábek, Ky Ho, Abhishek Sarkar
We investigate the following eigenvalue problem \begin{align*} \begin{cases} -\operatorname{div}\left( L(x) |\nabla u| ^{p-2}\nabla u\right)=λK(x)|u|^{p-2}u \quad \text{in } A_{R_1…
The Fredholm alternative for the -Laplacian in exterior domains
Pavel Drabek, Ky Ho, Abhishek Sarkar
We investigate the Fredholm alternative for the -Laplacian in an exterior domain which is the complement of the closed unit ball in (). By employing tech…
A note on fractional -Laplacian problems with singular weights
Ky Ho, Kanishka Perera, Inbo Sim +1
We study a class of fractional -Laplacian problems with weights which are possibly singular on the boundary of the domain. We provide existence and multiplicity results as well…
Existence results for degenerate -Laplace equations with Leray-Lions type operators
Ky Ho, Inbo Sim
We show the various existence results for degenerate -Laplace equations with Leray-Lions type operators. A suitable condition on degeneracy is discussed and proofs are mainly…