24 citations · 38 across the 20 of their papers we have counts for
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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…