Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data

被引：5
|
作者：
Carmona, Jose [1 ]
Colorado, Eduardo [2 ]
Leonori, Tommaso [3 ]
Ortega, Alejandro [2 ]
机构：
[1] Univ Almeria, Dept Matemat, Ctra Sacramento S-N, Almeria 04120, Spain
[2] Univ Carlos III Madrid, Dept Matemat, Av Univ 30, Leganes 28911, Madrid, Spain
[3] Univ Roma Sapienza, Dipartimento Sci Base & Applicate Ingn, Via Antonio Scarpa 10, I-00161 Rome, Italy
来源：
ADVANCES IN CALCULUS OF VARIATIONS | 2021年 / 14卷 / 04期
关键词：
Fractional Laplacian; mixed boundary conditions; regularity;
D O I：
10.1515/acv-2019-0029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we study regularity properties of solutions to fractional elliptic problems with mixed Dirichlet-Neumann boundary data when dealing with the spectral fractional Laplacian.
引用
收藏
页码：521 / 539
页数：19
相关论文
共 50 条
  • [1] Semilinear Fractional Elliptic Problems with Mixed Dirichlet-Neumann Boundary Conditions
    José Carmona
    Eduardo Colorado
    Tommaso Leonori
    Alejandro Ortega
    [J]. Fractional Calculus and Applied Analysis, 2020, 23 : 1208 - 1239
  • [2] SEMILINEAR FRACTIONAL ELLIPTIC PROBLEMS WITH MIXED DIRICHLET-NEUMANN BOUNDARY CONDITIONS
    Carmona, Jose
    Colorado, Eduardo
    Leonori, Tommaso
    Ortega, Alejandro
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2020, 23 (04) : 1208 - 1239
  • [3] Positive solutions for singular elliptic equations with mixed Dirichlet-Neumann boundary conditions
    Li, Yuanyuan
    Ruf, Bernhard
    Guo, Qianqiao
    Niu, Pengcheng
    [J]. MATHEMATISCHE NACHRICHTEN, 2014, 287 (04) : 374 - 397
  • [4] Semilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions
    Colorado, E
    Peral, I
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 199 (02) : 468 - 507
  • [5] POSITIVE SOLUTIONS FOR CRITICAL QUASILINEAR ELLIPTIC EQUATIONS WITH MIXED DIRICHLET-NEUMANN BOUNDARY CONDITIONS
    丁凌
    唐春雷
    [J]. Acta Mathematica Scientia, 2013, 33 (02) : 443 - 470
  • [6] A Schwarz lemma on the boundary for solutions to the Dirichlet-Neumann problem
    Jin, Lei
    Hu, Caicai
    [J]. JOURNAL OF ANALYSIS, 2024,
  • [7] POSITIVE SOLUTIONS FOR CRITICAL QUASILINEAR ELLIPTIC EQUATIONS WITH MIXED DIRICHLET-NEUMANN BOUNDARY CONDITIONS
    Ding, Ling
    Tang, Chunlei
    [J]. ACTA MATHEMATICA SCIENTIA, 2013, 33 (02) : 443 - 470
  • [8] The Brezis-Nirenberg problem for the fractional Laplacian with mixed Dirichlet-Neumann boundary conditions
    Colorado, Eduardo
    Ortega, Alejandro
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 473 (02) : 1002 - 1025
  • [9] Spatial boundary problem with the Dirichlet-Neumann condition for a singular elliptic equation
    Salakhitdinov, M. S.
    Karimov, E. T.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (08) : 3469 - 3476
  • [10] Positive weak solutions for heterogeneous elliptic logistic BVPs with glued Dirichlet-Neumann mixed boundary conditions
    Cano-Casanova, Santiago
    [J]. AIMS MATHEMATICS, 2023, 8 (06): : 12606 - 12621
12345