24 citations · 31 across the 11 of their papers we have counts for
11 papers
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…
Positive solutions for fractional-order boundary value problems with or without dependence of integer-order ones
Inbo Sim, Satoshi Tanaka
We investigate the existence, non-existence, uniqueness, and multiplicity of positive solutions to the following problem: \begin{align}\label{P} \left\{ \begin{array}{l} D_{0+}^αu…
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…
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…
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…
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 -Laplacian problem with a critical Trudinger-Moser nonlinearity. The proof is based on obtaining uniform $C^{1,α}…
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…
A class of semipositone -Laplacian problems with a critical growth reaction term
Kanishka Perera, Ratnasingham Shivaji, Inbo Sim
We prove the existence of ground state positive solutions for a class of semipositone -Laplacian problems with a critical growth reaction term. The proofs are established by obt…
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…
-Laplace equations with singular weights
Kanishka Perera, Inbo Sim
We study a class of -Laplacian Dirichlet problems with weights that are possibly singular on the boundary of the domain, and obtain nontrivial solutions using Morse theory. In t…