Elliptic equations with nonlinear absorption depending on the solution and its gradient

We study positive solutions of equation (E1) −Δu+up|∇u|q=0 (0⩽p, 0⩽q⩽2, p+q>1) and (E2) −Δu+up+|∇u|q=0 (p>1, 1

Saved in:
Bibliographic Details
Published in:Proceedings of the London Mathematical Society 2015-07, Vol.111 (1), p.205-239
Main Authors: Marcus, Moshe, Nguyen, Phuoc‐Tai
Format: Article
Language:English
Subjects:
Absorption
Boundaries
Classification
Formulas (mathematics)
Mathematical analysis
Nonlinearity
Singularities
Uniqueness
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study positive solutions of equation (E1) −Δu+up|∇u|q=0 (0⩽p, 0⩽q⩽2, p+q>1) and (E2) −Δu+up+|∇u|q=0 (p>1, 1
ISSN:0024-6115
1460-244X
DOI:10.1112/plms/pdv020