Applications of Sub-Supersolution Theorems to Singular Nonlinear Elliptic Problems

Abstract: The results presented here were motivated by several recent papers on singular boundary value problems for semilinear elliptic equations with convection terms. We present extensions which cover singular nonlinear equations (mainly equations involving the p−Laplacian) containing convection terms. The results obtained are proved using sub- and supersolution theorems (motivated by the results in [18, 19, 20, 23]) and the construction of a well-ordered pair of such using a principal eigenfunction of the p−Laplacian.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Applications of Sub-Supersolution Theorems to Singular Nonlinear Elliptic Problems ; volume:11 ; number:3 ; year:2011 ; pages:493-524 ; extent:32
Advanced nonlinear studies ; 11, Heft 3 (2011), 493-524 (gesamt 32)

Creator
Loc, Nguyen Hoang
Schmitt, Klaus

DOI
10.1515/ans-2011-0302
URN
urn:nbn:de:101:1-2405021710279.614967701013
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:44 AM CEST

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Associated

  • Loc, Nguyen Hoang
  • Schmitt, Klaus

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