期刊： PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021; 151 (2)
This paper concerns with the existence of multiple solutions for a class of elliptic problems with discontinuous nonlinearity. By using dual variation......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021; 151 (2)
In the present paper, we consider the following Kirchhoff type problem -(epsilon(2) + epsilon b integral(R3) vertical bar del v vertical bar(2))Delta ......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021; 151 (3)
We study the existence of entropy solutions by assuming the right-hand side function f to be an integrable function for some elliptic nonlocal p-Lapla......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021; 151 (3)
The article is devoted to Hardy type inequalities on closed manifolds. By means of various weighted Ricci curvatures, we establish several sharp Hardy......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021; 151 (2)
This paper deals with the global existence for a class of Keller-Segel model with signal-dependent motility and general logistic term under homogeneou......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021; 151 (2)
For Laplacians defined by measures on a bounded domain in Double-struck capital R-n, we prove analogues of the classical eigenvalue estimates for the ......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021; 151 (4)
In this paper, we study a class of one-dimensional stochastic differential equations driven by fractional Brownian motion with Hurst parameter H > ......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021; 151 (4)
In the present paper, we first introduce the concepts of the L-p q-capacity measure and L-p mixed q-capacity and then prove some geometric properties ......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021; 151 (2)
This paper is concerned with the existence results for generalized transition waves of space periodic and time heterogeneous lattice Fisher-KPP equati......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021; 151 (3)
We show the incompressible Navier-Stokes-Maxwell system with solenoidal Ohm's law can be derived from the two-fluid incompressible Navier-Stokes-Maxwe......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021; 151 (3)
This paper is mainly concerned with the global asymptotic behaviour of the unique solution to a class of singular Dirichlet problems -Delta u = b(x)g(......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021; 151 (1)
We are concerned with the semi-classical states for the Choquard equation -epsilon(2)Delta v + Vv = epsilon(-alpha)(I-alpha * vertical bar v vertical ......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021; 151 (1)
The existence and nonexistence of semi-trivial or coexistence steady-state solutions of one-dimensional competition models in an unstirred chemostat a......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021; 151 (1)
In this paper, we study the controllability of second-order nonlinear stochastic delay systems driven by the Rosenblatt distributions in finite dimens......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021; 151 (1)
For the solution of the Poisson problem with an L-infinity right hand side {-Delta u(x) = f(x) in D, u = 0 on partial derivative D we derive an optima......
