Subcritical nonlocal problems with mixed boundary conditions-Reference-Cited by-同舟云学术

Subcritical nonlocal problems with mixed boundary conditions

Published:2023-08-10 Issue: Volume: Page:
ISSN:1664-3607
Container-title:Bulletin of Mathematical Sciences
language:en
Short-container-title:Bull. Math. Sci.

Author:

Molica Bisci Giovanni¹,Ortega Alejandro²,Vilasi Luca³

Affiliation:

1. Dipartimento di Scienze Pure e Applicate (DiSPeA), Universitá degli Studi di Urbino Carlo Bo, Piazza della Repubblica, 13 - 61029 Urbino, Italy

2. Departamento de Matemáticas Fundamentales, Facultad de Ciencias, Universidad Nacional de Educacion a Distancia, 28040 Madrid, Spain

3. Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno d’Alcontres, 31 - 98166 Messina, Italy

Abstract

By using linking and [Formula: see text]-theorems in this paper we prove the existence of multiple solutions for the following nonlocal problem with mixed Dirichlet–Neumann boundary data, [Formula: see text] where [Formula: see text], [Formula: see text], is the spectral fractional Laplacian operator, [Formula: see text], [Formula: see text], is a smooth bounded domain, [Formula: see text] is a real parameter, [Formula: see text] is the outward normal to [Formula: see text], [Formula: see text], [Formula: see text] are smooth [Formula: see text]-dimensional submanifolds of [Formula: see text] such that [Formula: see text], [Formula: see text] and [Formula: see text] is a smooth [Formula: see text]-dimensional submanifold of [Formula: see text].

Funder

State Research Agency of Spain

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S166436072350011X