11 citations · 29 across the 15 of their papers we have counts for
14 papers · 1 filter
Dirichlet problem for Lane-Emden type equations with several sublinear terms
Toe Toe Shwe, Kentaro Hirata, Adisak Seesanea
We prove the existence, uniqueness, and sharp bilateral pointwise estimates for positive bounded solutions to the Lane--Emden type problem \[ \begin{cases} L u = \sum\limits_{i=1}^…
Fractional sublinear Sobolev inequality for superharmonic functions
Aye Chan May, Adisak Seesanea
We establish a Sobolev-type inequality in Lorentz spaces for -superharmonic functions \[ \|u\|_{L^{\frac{nq}{n-αq},t}(\mathbb{R}^n)} \leq c \left\| \frac{u(x) - u(y)}{…
Dynamics and pattern formation in a diffusive Beddington-DeAngelis predator-prey model with fear effect
Aung Zaw Myint, Aye Chan May, Mya Hnin Lwin +2
In this paper, dynamical properties and positive steady states of a diffusive predator-prey system with fear effect and Beddington-DeAngelis functional response subject to Neumann…
Integral Representations of solutions to Poisson Equations
Aye Chan May, Adisak Seesanea
We give a constructive approach for the study of integral representations of classical solutions to Poisson equations under some integrability conditions on data functions.
Calderon-Zygmund theory for strongly coupled linear system of nonlocal equations with Holder-regular coefficient
Tadele Mengesha, Armin Schikorra, Adisak Seesanea +1
We extend the Calderón-Zygmund theory for nonlocal equations to strongly coupled system of linear nonlocal equations , where the operator $\mathcal{L}^{s…
Minimal L^p-Solutions to Singular Sublinear Elliptic Problems
Aye Chan May, Adisak Seesanea
We solve the existence problem for the minimal positive solutions to the Dirichlet problems for sublinear elliptic equations of the form \[ \begin{cases} Lu=σu^…
Nonlocal Sublinear Elliptic Problems Involving Measures
Aye Chan May, Adisak Seesanea
We study Dirichlet problems for fractional Laplace equations of the form in for where the nonlinearity $f(x,u) = \sum_{i=1}^{…
Homogenization of diffusion processes with singular drifts and potentials via unfolding method
Toshihiro Uemura, Adisak Seesanea
This work is concerned with homogenization problems for elliptic equations of the type \[ \begin{cases} \mathfrak{L}_δ u_δ + λu_δ = f_δ \qquad \text{in} \;\; D, \\ \qquad \quad \;\…
Global tangential Calderon-Zygmund type estimates for the regional fractional Laplacian
Sujin Khomrutai, Armin Schikorra, Adisak Seesanea +1
We discuss tangential Sobolev-estimates up to the boundary for solutions to the regional fractional laplacian on the upper half-plane. These estimates can be used to reduce the bou…
The Dirichlet problem for sublinear elliptic equations with source
Kentaro Hirata, Adisak Seesanea
We present a necessary and sufficient condition on nonnegative Radon measures and for the existence of a positive continuous solution of the Dirichlet problem for the subli…
Existence of minimal solutions to quasilinear elliptic equations with several sub-natural growth terms
Takanobu Hara, Adisak Seesanea
We study the existence of positive solutions to quasilinear elliptic equations of the type \[ -Δ_{p} u = σu^{q} + μ\quad \text{in} \ \mathbb{R}^{n}, \] in the sub-natural growth ca…
Solutions in Lebesgue spaces to nonlinear elliptic equations with sub-natural growth terms
Adisak Seesanea, Igor E. Verbitsky
We study the existence problem for positive solutions , , to the quasilinear elliptic equation \[ -Δ_{p} u = σu^{q} \quad \text{in} \;\; \m…
Solutions to sublinear elliptic equations with finite generalized energy
Adisak Seesanea, Igor E. Verbitsky
We give necessary and sufficient conditions for the existence of a positive solution with zero boundary values to the elliptic equation \[ \mathcal{L}u = σu^{q} + μ\quad \text{in}…
Finite energy solutions to inhomogeneous nonlinear elliptic equations with sub-natural growth terms
Adisak Seesanea, Igor E. Verbitsky
We obtain necessary and sufficient conditions for the existence of a positive finite energy solution to the inhomogeneous quasilinear elliptic equation \[ -Δ_{p} u = σu^{q} + μ\qua…