期刊： JOURNAL OF FUNCTIONAL ANALYSIS, 2021; 281 (8)
The transmission problem is a system of two second-order elliptic equations of two unknowns equipped with the Cauchy data on the boundary. After four ......
期刊： JOURNAL OF FUNCTIONAL ANALYSIS, 2021; 281 (4)
We study the zeros of cross-product of Bessel functions and obtain their approximations, based on which we reduce the eigenvalue counting problem for ......
期刊： JOURNAL OF FUNCTIONAL ANALYSIS, 2021; 281 (4)
Recently, Brezis, Van Schaftingen and the second author [4] established a new formula for the. W-1,W-p norm of a function in C-c(infinity) (R-N). The ......
期刊： JOURNAL OF FUNCTIONAL ANALYSIS, 2021; 281 (5)
Almost everywhere convergence on the solution of Schrodinger equation is an important problem raised by Carleson in harmonic analysis. In recent years......
期刊： JOURNAL OF FUNCTIONAL ANALYSIS, 2021; 281 (9)
In this paper, we consider the pointwise convergence for a class of generalized Schrodinger operators with suitable perturbations, and convergence rat......
期刊： JOURNAL OF FUNCTIONAL ANALYSIS, 2021; 281 (3)
In this paper, we study long time behavior and dynamical instabilities of smectic liquid crystals in an applied magnetic field. Under a planar ansatz ......
期刊： JOURNAL OF FUNCTIONAL ANALYSIS, 2021; 281 (5)
We consider a directed polymer model in dimension 1 + 1, where the disorder is given by the occupation field of a Poisson system of independent random......
期刊： JOURNAL OF FUNCTIONAL ANALYSIS, 2021; 281 (9)
We show that a continuous potential q can be constructively determined from the knowledge of the Dirichlet-to-Neumann map for the Schrodinger operator......
期刊： JOURNAL OF FUNCTIONAL ANALYSIS, 2021; 281 (2)
Under various elliptic boundary conditions, we obtain lower eigenvalue estimates for Dirac operators by using the weighted L-2-technique which has its......
期刊： JOURNAL OF FUNCTIONAL ANALYSIS, 2021; 281 (4)
It is well known that Nash-type inequalities for symmetric Dirichlet forms are equivalent to on-diagonal heat kernel upper bounds for the associated s......
期刊： JOURNAL OF FUNCTIONAL ANALYSIS, 2021; 281 (9)
In this paper, we consider the following problem {(-Delta)(p)(s)u(x) = f(u), u(x) > 0 in Omega, u(x) = 0 on R-n\Omega, where (-Delta)(p)(s) is the ......
期刊： JOURNAL OF FUNCTIONAL ANALYSIS, 2021; 280 (4)
We develop a monotonicity formula for solutions of the fractional Toda system (-Delta)(s) f(alpha) = e(-(f alpha+1 - f alpha)) - e(-(f alpha - f alpha......
期刊： JOURNAL OF FUNCTIONAL ANALYSIS, 2021; 281 (9)
In this note, the proof of the main result in the paper "An application of atomic decomposition in Bergman spaces to the study of difference of compos......
期刊： JOURNAL OF FUNCTIONAL ANALYSIS, 2021; 281 (9)
In this paper, we firstly establish a new volume growth estimate for spacelike entire graphs in the pseudo-Euclidean space R-n(m+n). Then by using thi......
期刊： JOURNAL OF FUNCTIONAL ANALYSIS, 2021; 281 (2)
We give two Roth theorems, related to the nonlinear configuration x, x + P-1(t), x + P-2(t) involving two polynomials, for sets in R of positive densi......
