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Boundary extensions for map**s between metric spaces
In this paper, we consider boundary extensions of two classes of map**s between metric measure spaces. These two map** classes extend in...
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Least gradient problem with Dirichlet condition imposed on a part of the boundary
We provide an analysis of the least gradient problem in the case when the boundary datum is only imposed on a part of the boundary. First, we give a...
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Explicit Error Estimation for Boundary Value Problems
This chapter presents recent advancements in quantitative error estimates, specifically providing concrete error bounds for boundary value problems... -
Boundary Regularity of Isometries Between Infinitely Flat Complex Domains
In this paper we prove that isometries with respect to the Kobayashi metric between certain domains having boundary points at which the boundary is...
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A note on free boundary hypersurfaces in space form balls
In this article, we establish a relationship between geometric quantities of a hypersurface restricted to its boundary, and the geometric quantities...
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Convexity of the free boundary for an axisymmetric incompressible im**ing jet
This paper is devoted to the study of the shape of the free boundary for a three-dimensional axisymmetric incompressible im**ing jet. To be more...
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A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers
A rapidly converging domain decomposition algorithm is introduced for a time delayed parabolic problem with mixed type boundary conditions exhibiting...
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Geometric Optics for Quasilinear Hyperbolic Boundary Value Problems
This paper presents the work in Kilque (2022) which investigate the existence of the leading profile of a WKB expansion for quasilinear initial... -
Up to the boundary gradient estimates for viscosity solutions to nonlinear free boundary problems with unbounded measurable ingredients
In this paper, we prove up to the boundary gradient estimates for viscosity solutions to inhomogeneous nonlinear Free Boundary Problems (FBP)...
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On Tangential Boundary Behavior of Functions from Hardy Type Spaces
AbstractIt is well known that functions from the Hardy spaces have limit values almost everywhere on the boundary. For example, in case of the unit...
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Inverse mean curvature flow with a free boundary in hyperbolic space
We study the inverse mean curvature flow with a free boundary supported on geodesic spheres in hyperbolic space. Starting from any convex...
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Conditions of boundary layer separation for Boussinesq equations
In this paper, we analyze structural bifurcation of solutions to 2-D incompressible Boussinesq equations, where no-slip boundary condition for...
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Positive solutions to semilinear Dirichlet problems with general boundary data
We give a probabilistic representation of the solution to a semilinear elliptic Dirichlet problem with general (discontinuous) boundary data. The...
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Boundary regularity of an isotropically censored nonlocal operator
In a bounded domain, we consider a variable range nonlocal operator, which is maximally isotropic in the sense that its radius of interaction equals...
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A free boundary problem for the p-Laplacian with nonlinear boundary conditions
We study a nonlinear generalization of a free boundary problem that arises in the context of thermal insulation. We consider two open sets
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Equivariant index bound for min–max free boundary minimal surfaces
Given a three-dimensional Riemannian manifold with boundary and a finite group of orientation-preserving isometries of this manifold, we prove that...
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p-Regularity Theory and the Existence of a Solution to a Boundary Value Problem Continuously Dependent on Boundary Conditions
AbstractFor a given boundary value problem, the existence of a solution depending continuously on the boundary conditions is analyzed. Previously,...