Differential and Integral Equations

Moser-type inequalities for solutions of linear elliptic equations with lower-order terms

Adele Ferone, Vincenzo Ferone, and Roberta Volpicelli

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Abstract

Moser-type estimates for solutions of linear elliptic equations with lower-order terms are given. The results are proved under various assumptions on the coefficients and on the known term in the equations. Also solutions of Hamilton-Jacobi equations are considered.

Article information

Source
Differential Integral Equations, Volume 10, Number 6 (1997), 1031-1048.

Dates
First available in Project Euclid: 1 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367438217

Mathematical Reviews number (MathSciNet)
MR1608021

Zentralblatt MATH identifier
0940.35068

Subjects
Primary: 35J25: Boundary value problems for second-order elliptic equations
Secondary: 35B05: Oscillation, zeros of solutions, mean value theorems, etc. 35B20: Perturbations 35J65: Nonlinear boundary value problems for linear elliptic equations

Citation

Ferone, Adele; Ferone, Vincenzo; Volpicelli, Roberta. Moser-type inequalities for solutions of linear elliptic equations with lower-order terms. Differential Integral Equations 10 (1997), no. 6, 1031--1048. https://projecteuclid.org/euclid.die/1367438217


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