A theory of semilinear operator equations under nonresonance conditions. (English) Zbl 1161.47309

Muzsi, Dezideriu

Nonlinear Funct. Anal. Appl. 13, No. 4, 625-641 (2008).

This article is a duplicate of [Nonlinear Funct.Anal.Appl.13, No.1, 69–85 (2008; Zbl 1161.47043)].

Reviewer: Nils Ackermann (México)

MSC:

47J05	Equations involving nonlinear operators (general)
35J65	Nonlinear boundary value problems for linear elliptic equations
47J25	Iterative procedures involving nonlinear operators
47N20	Applications of operator theory to differential and integral equations
35R20	Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
35D05	Existence of generalized solutions of PDE (MSC2000)
35J60	Nonlinear elliptic equations
47H10	Fixed-point theorems

Keywords:

nonlinear operator equation; fixed point; Leray-Schauder theory; semilinear elliptic equation

Citations:

Zbl 1161.47043