Existence and comparison results for a singular semilinear elliptic equation with a lower order term

Existence and comparison results for a singular semilinear elliptic equation with a lower order term

This paper deals with the homogeneous Dirichlet problem for a singular semilinear elliptic equation with a first order term. When the datum is bounded we prove an existence result and we show that any solution can be compared with the solution to a suitable symmetrized problem.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Ricerche di matematica 2014, Vol.63 (Suppl 1), p.3-18
Hauptverfasser: Brandolini, Barbara, Ferone, Vincenzo, Messano, Basilio
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Geometry
Mathematics
Mathematics and Statistics
Numerical Analysis
Probability Theory and Stochastic Processes
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:This paper deals with the homogeneous Dirichlet problem for a singular semilinear elliptic equation with a first order term. When the datum is bounded we prove an existence result and we show that any solution can be compared with the solution to a suitable symmetrized problem.
ISSN:0035-5038
1827-3491
DOI:10.1007/s11587-014-0215-7