Differential and Integral Equations

Nonlinear elliptic equations with lower-order terms

A. Alvino, V. Ferone, and G. Trombetti

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Abstract

We prove regularity results for solutions of nonlinear elliptic equations containing a term which grows as $ |u|^\sigma$, $ \sigma>0$, and satisfies a "sign condition." The source term is supposed to be in $ L^1$.

Article information

Source
Differential Integral Equations, Volume 14, Number 10 (2001), 1169-1180.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356123097

Mathematical Reviews number (MathSciNet)
MR1852458

Zentralblatt MATH identifier
1161.35328

Subjects
Primary: 35B65: Smoothness and regularity of solutions
Secondary: 35B45: A priori estimates 35J65: Nonlinear boundary value problems for linear elliptic equations

Citation

Alvino, A.; Ferone, V.; Trombetti, G. Nonlinear elliptic equations with lower-order terms. Differential Integral Equations 14 (2001), no. 10, 1169--1180. https://projecteuclid.org/euclid.die/1356123097


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