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Comparison Results for Nonlinear Parabolic Equations with Monotone Principal Part

✍ Scribed by Alexandre N. Carvalho; Claudia B. Gentile


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
140 KB
Volume
259
Category
Article
ISSN
0022-247X

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✦ Synopsis


quasi-linear parabolic problems with monotone principal part. This result is applied to parabolic problems having the p-Laplacian as principal part and with non-Lipschitz perturbations.


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✍ Vincenzo Ferone; Basilio Messano 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 119 KB

## Abstract We consider a solution __u__ of the homogeneous Dirichlet problem for a class of nonlinear elliptic equations in the form __A__(__u__) + __g__(__x__, __u__) = __f__, where the principal term is a Leray–Lions operator defined on $ W ^{1, p} \_{0} (\Omega) $ and __g__(__x__, __u__) is a t