Premium
Combining local and nonlocal terms in a nonlinear elliptic problem
Author(s) -
Corrêa Francisco Julio S. A.,
Suárez Antonio
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1592
Subject(s) - mathematics , uniqueness , multiplicity (mathematics) , continuation , mathematical proof , nonlinear system , mathematical analysis , stability (learning theory) , bifurcation , bifurcation theory , fixed point theorem , pure mathematics , geometry , computer science , physics , quantum mechanics , machine learning , programming language
In this paper, we study the existence, uniqueness, multiplicity, and stability of positive solution of a nonlinear elliptic problem that combines local and nonlocal terms, taking the form of an integral in the space. The proofs are mainly based on fixed point theorems, bifurcation techniques, sub‐supersolutions, and continuation arguments. Copyright © 2012 John Wiley & Sons, Ltd.