Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Advances in Calculus of Variations

Managing Editor: Duzaar, Frank / Kinnunen, Juha

Editorial Board Member: Armstrong, Scott N. / Astala, Kari / Colding, Tobias / Dacorogna, Bernard / Dal Maso, Gianni / DiBenedetto, Emmanuele / Fonseca, Irene / Finster, Felix / Gianazza, Ugo / Gursky, Matthew / Hardt, Robert / Ishii, Hitoshi / Kristensen, Jan / Manfredi, Juan / Martell, Jose Maria / McCann, Robert / Mingione, Giuseppe / Nystrom, Kaj / Pacard, Frank / Preiss, David / Riviére, Tristan / Schaetzle, Reiner / Silvestre, Luis

4 Issues per year


IMPACT FACTOR 2016: 1.182

CiteScore 2016: 0.78

SCImago Journal Rank (SJR) 2016: 1.277
Source Normalized Impact per Paper (SNIP) 2016: 0.881

Mathematical Citation Quotient (MCQ) 2016: 0.83

Online
ISSN
1864-8266
See all formats and pricing
More options …

Existence results for quasilinear elliptic and parabolic problems with quadratic gradient terms and sources

Lucio Boccardo / Luigi Orsina / Maria Michaela Porzio
Published Online: 2011-02-10 | DOI: https://doi.org/10.1515/acv.2011.006

Abstract

In this paper we deal with elliptic and parabolic quasilinear problems with a singular quadratic lower order term depending on the gradient, i.e., with the equations

and

with Ω a bounded open set of , T > 0, M a bounded measurable uniformly elliptic matrix, B > 0, 0 < θ < 1 and 0 < r < 2 – θ. We will prove existence result for solutions under various assumptions on ƒ and the initial datum u 0

Note that the elliptic equation is strongly related with the Euler–Lagrange equation of some integral functionals.

Keywords.: Quasilinear elliptic equations; quasilinear parabolic equations; singular equations

About the article

Received: 2010-10-08

Revised: 2010-12-14

Published Online: 2011-02-10

Published in Print: 2011-09-01


Citation Information: Advances in Calculus of Variations, ISSN (Online) 1864-8266, ISSN (Print) 1864-8258, DOI: https://doi.org/10.1515/acv.2011.006.

Export Citation

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
José Carmona Tapia, Alexis Molino Salas, and Lourdes Moreno Mérida
Journal of Mathematical Analysis and Applications, 2016, Volume 436, Number 2, Page 1048
[2]
David Arcoya, José Carmona, and Pedro J. Martínez-Aparicio
Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 2014, Volume 31, Number 2, Page 249
[3]
José Carmona, Pedro J. Martínez-Aparicio, and Antonio Suárez
Nonlinear Analysis: Theory, Methods & Applications, 2013, Volume 89, Page 157

Comments (0)

Please log in or register to comment.
Log in