×

Existence and number of solutions to semilinear equations with applications to boundary-value problems. (English) Zbl 0961.47038

Summary: We present recent and some new existence results on the number of solutions to nonlinear equations and to (non)resonant semilinear equations involving nonlinear perturbations of Fredholm maps of index zero. We apply our results to semilinear elliptic, and to semilinear parabolic and hyperbolic periodic boundary-value problems.

MSC:

47J05 Equations involving nonlinear operators (general)
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
35J40 Boundary value problems for higher-order elliptic equations
PDFBibTeX XMLCite
Full Text: EuDML EMIS