5 papers
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}^…
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 \qua…
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…
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…