Semilinear fractional elliptic problems with mixed Dirichlet-Neumann boundary conditions-Reference-Cited by-同舟云学术

Semilinear fractional elliptic problems with mixed Dirichlet-Neumann boundary conditions

Published:2020-08-01 Issue:4 Volume:23 Page:1208-1239
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Carmona José¹,Colorado Eduardo²,Leonori Tommaso³,Ortega Alejandro²

Affiliation:

1. Departamento de Matemáticas , Universidad de Almería Ctra , Sacramento s/n, La Cañada de San Urbano 04120 , Almería , Spain

2. Departamento de Matemáticas , Universidad Carlos III de Madrid Avenida de la Universidad , 30 28911 , Leganés Madrid , Spain

3. Dipartimento di Scienze di Base e Applicate per l’Ingegneria , Università di Roma “Sapienza” Via Antonio , Scarpa 10 00161 , Roma , Italy

Abstract

Abstract We study a nonlinear elliptic boundary value problem defined on a smooth bounded domain involving the fractional Laplace operator and a concave-convex term, together with mixed Dirichlet-Neumann boundary conditions.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2020-0061/pdf

Reference27 articles.

1. B. Abdellaoui, E. Colorado, I. Peral, Some remarks on elliptic equations with singular potentials and mixed boundary conditions. Adv. Nonlinear Stud. 4, No 4 (2004), 503–533.

2. B. Abdellaoui, E. Colorado, I. Peral, Effect of the boundary conditions in the behavior of the optimal constant of some Caffarelli-Kohn-Nirenberg inequalities. Application to some doubly critical nonlinear elliptic problems. Adv. Differential Equations11, No 6 (2006), 667–672.

3. A. Ambrosetti, H. Brezis, G. Cerami, Combined effects of concave and convex nonlinearities in some elliptic problems. J. Funct. Anal. 122, No 2 (1994), 519–543.

4. A. Ambrosetti, P.H. Rabinowitz, Dual variational methods in critical point theory and applications. J. Funct. Anal. 14, (1973), 349–381.

5. S. Alama, Semilinear elliptic equations with sublinear indefinite nonlinearities. Adv. Differential Equations4 (1999), 813–842.

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Towards a Proof of Bahri–Coron’s Type Theorem for Mixed Boundary Value Problems;Mathematics;2023-04-20

2. Concave-convex critical problems for the spectral fractional laplacian with mixed boundary conditions;Fractional Calculus and Applied Analysis;2022-12-19

3. Existence of Solutions to Fractional Elliptic Equation with the Hardy Potential and Concave–Convex Nonlinearities;Mediterranean Journal of Mathematics;2022-12-08

4. On a nonlinear elliptic fractional problem under mixed boundary condition: Effect of the geometry of the domain;Differential Geometry and its Applications;2022-12