Bound states and scattering states for time periodic hamiltonians
Boundaries of graphs of harmonic functions.
Boundary asymptotic and uniqueness of solution for a problem with -Laplacian.
Boundary augmented Lagrangian method for the Signorini problem
An augmented Lagrangian method, based on boundary variational formulations and fixed point method, is designed and analyzed for the Signorini problem of the Laplacian. Using the equivalence between Signorini boundary conditions and a fixed-point problem, we develop a new iterative algorithm that formulates the Signorini problem as a sequence of corresponding variational equations with the Steklov-Poincaré operator. Both theoretical results and numerical experiments show that the method presented...
Boundary behavior and estimates for solutions of equations containing the -Laplacian.
Boundary behavior of blow-up solutions to some weighted nonlinear differential equations.
Boundary behaviour of eigenfunctions of the Laplacian in a bi-tree.
Boundary Behaviour of Nonnegative Solutions of Subelliptic Equations in NTA Domains for Carnot-Carathéodory Metrics.
Boundary blow-up solutions for a cooperative system involving the p-Laplacian
We study necessary and sufficient conditions for the existence of nonnegative boundary blow-up solutions to the cooperative system in a smooth bounded domain of , where is the p-Laplacian operator defined by with p > 1, f and g are nondecreasing, nonnegative C¹ functions, and α and β are two positive parameters. The asymptotic behavior of solutions near the boundary is obtained and we get a uniqueness result for p = 2.
Boundary blow-up solutions of cooperative systems
Boundary blow-up solutions to -Laplacian equations with exponential nonlinearities.
Boundary eigencurve problems involving the -Laplacian operator.
Boundary estimates for solutions of Monge-Ampère equations in the plane
Boundary higher integrability for the gradient of distributional solutions of nonlinear systems
Boundary homogenization for a quasi-linear elliptic problem with Dirichlet boundary conditions posed on small inclusions distributed on the boundary.
Boundary integral equations and modified Green's functions
Boundary integral equations for mixed boundary value problems in polygonal domains and Galerkin approximation
Boundary integral equations of the logarithmic potential theory for domains with peaks
Integral equations of boundary value problems of the logarithmic potential theory for a plane domain with several peaks at the boundary are studied. We present theorems on the unique solvability and asymptotic representations for solutions near peaks. We also find kernels of the integral operators in a class of functions with a weak power singularity and describe classes of uniqueness.
Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume
In this paper we discuss the approximate reconstruction of inhomogeneities of small volume. The data used for the reconstruction consist of boundary integrals of the (observed) electromagnetic fields. The numerical algorithms discussed are based on highly accurate asymptotic formulae for the electromagnetic fields in the presence of small volume inhomogeneities.
Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume
In this paper we discuss the approximate reconstruction of inhomogeneities of small volume. The data used for the reconstruction consist of boundary integrals of the (observed) electromagnetic fields. The numerical algorithms discussed are based on highly accurate asymptotic formulae for the electromagnetic fields in the presence of small volume inhomogeneities.