Journal of the Mathematical Society of Japan

Removable singularities for quasilinear degenerate elliptic equations with absorption term

Toshio HORIUCHI

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Abstract

Let N1 and p>1. Let F be a compact set and Ω be a bounded open set of RN satisfying FΩRN. We define a generalized p-harmonic operator Lp which is elliptic in ΩF and degenerated on F. We shall study the genuinely degenerate elliptic equations with absorption term. In connection with these equations we shall treat two topics in the present paper. Namely, the one is concerned with removable singularities of solutions and the other is the unique existence property of bounded solutions for the Dirichlet boundary problem.

Article information

Source
J. Math. Soc. Japan, Volume 53, Number 3 (2001), 513-540.

Dates
First available in Project Euclid: 9 June 2008

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1213023721

Digital Object Identifier
doi:10.2969/jmsj/05330513

Mathematical Reviews number (MathSciNet)
MR1828967

Zentralblatt MATH identifier
1136.35392

Subjects
Primary: 35J70: Degenerate elliptic equations
Secondary: 35J65: Nonlinear boundary value problems for linear elliptic equations 35J60: Nonlinear elliptic equations

Keywords
Quasilinear degenerate elliptic equations Removable singularities

Citation

HORIUCHI, Toshio. Removable singularities for quasilinear degenerate elliptic equations with absorption term. J. Math. Soc. Japan 53 (2001), no. 3, 513--540. doi:10.2969/jmsj/05330513. https://projecteuclid.org/euclid.jmsj/1213023721


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