Yun-Ho Kim

activity

20182026

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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.AP2019

The concentration-compactness principles for $W^{s, p (\cdot, \cdot)} (R^{N})$ 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

A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional $p (\cdot)$ -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

Existence results for Schrödinger $p (x)$ -Laplace equations involving critical growth in $R^{N}$

Ky Ho, Yun-Ho Kim, Inbo Sim

We establish some existence results for Schrödinger $p (x)$ -Laplace equations in $R^{N}$ with various potentials and critical growth of nonlinearity that may occur on some no…

Hölder regularity for logarithmic double phase problems

The concentration-compactness principles for Ws,p(⋅,⋅)(RN) and application

A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional p(⋅)-Laplacian

Existence results for Schrödinger p(x)-Laplace equations involving critical growth in RN

The concentration-compactness principles for $W^{s, p (\cdot, \cdot)} (R^{N})$ and application

A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional $p (\cdot)$ -Laplacian

Existence results for Schrödinger $p (x)$ -Laplace equations involving critical growth in $R^{N}$