activity
20182026
most citedA-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional -Laplacian

5 citations · 8 across the 5 of their papers we have counts for

collaborators

6 papers

math.AP2026

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…

math.AP2022

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…

math.AP2020★ 2 cited

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…

math.AP2019

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…

math.AP2018★ 5 cited

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…

math.AP2018★ 1 cited

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…