5 papers
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.
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}^{…