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  1. 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...

    Yao-Lan Tian, Yi Xuan in Analysis and Mathematical Physics
    Article 23 April 2024
  2. 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...

    Article 12 February 2024
  3. 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...
    Chapter 2024
  4. 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...

    ** Song Liu, Fei Tao, Hong Yu Wang in Acta Mathematica Sinica, English Series
    Article 09 May 2024
  5. 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...

    Iury Domingos, Roney Santos, Feliciano VitĂłrio in Archiv der Mathematik
    Article 17 July 2023
  6. 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...

    **aohui Wang in Acta Mathematica Scientia
    Article 29 November 2023
  7. 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...

    Aakansha, Sunil Kumar, Higinio Ramos in Journal of Applied Mathematics and Computing
    Article Open access 02 February 2024
  8. 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...
    Conference paper 2024
  9. 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)...

    J. Ederson M. Braga, Diego R. Moreira in Calculus of Variations and Partial Differential Equations
    Article 15 August 2022
  10. On Tangential Boundary Behavior of Functions from Hardy Type Spaces

    Abstract

    It is well known that functions from the Hardy spaces have limit values almost everywhere on the boundary. For example, in case of the unit...

    I. N. Katkovskaya, V. G. Krotov in Lobachevskii Journal of Mathematics
    Article 01 January 2024
  11. 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...

    Article 17 April 2024
  12. 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...

    Biyan Hu, Minxin Zhang, Hong Luo in Nonlinear Differential Equations and Applications NoDEA
    Article 12 June 2023
  13. 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...

    Lucian Beznea, Alexandra Teodor in Analysis and Mathematical Physics
    Article 10 April 2024
  14. 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...

    Article Open access 01 September 2023
  15. 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 ...

    P. Acampora, E. Cristoforoni in Annali di Matematica Pura ed Applicata (1923 -)
    Article Open access 01 July 2023
  16. 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...

    Article Open access 22 July 2023
  17. p-Regularity Theory and the Existence of a Solution to a Boundary Value Problem Continuously Dependent on Boundary Conditions

    Abstract

    For a given boundary value problem, the existence of a solution depending continuously on the boundary conditions is analyzed. Previously,...

    Yu. G. Evtushenko, B. Medak, A. A. Tret’yakov in Computational Mathematics and Mathematical Physics
    Article 01 June 2023
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