Inbo Sim

collaborators

4 papers

math.AP2018

Properties of eigenvalues and some regularities on fractional $p$ -Laplacian with singular weights

Ky Ho, Inbo Sim

We provide fundamental properties of the first eigenpair for fractional $p$ -Laplacian eigenvalue problems under singular weights, which is related to Hardy type inequality, and als…

math.AP2018

Positive solutions of semipositone elliptic problems with critical Trudinger-Moser nonlinearities

Kanishka Perera, Inbo Sim

We prove the existence of a positive solution to a semipositone $N$ -Laplacian problem with a critical Trudinger-Moser nonlinearity. The proof is based on obtaining uniform $C^{1,α}…

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…

math.AP2016

A note on fractional $p$ -Laplacian problems with singular weights

Ky Ho, Kanishka Perera, Inbo Sim +1

We study a class of fractional $p$ -Laplacian problems with weights which are possibly singular on the boundary of the domain. We provide existence and multiplicity results as well…

Properties of eigenvalues and some regularities on fractional p-Laplacian with singular weights

Positive solutions of semipositone elliptic problems with critical Trudinger-Moser nonlinearities

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

A note on fractional p-Laplacian problems with singular weights

Properties of eigenvalues and some regularities on fractional $p$ -Laplacian with singular weights

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

A note on fractional $p$ -Laplacian problems with singular weights