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L∞-solutions for some nonlinear degenerate elliptic and parabolic equations

✍ Scribed by G. R. Cirmi; M. M. Porzio

Book ID
112608483
Publisher
Springer
Year
1995
Tongue
English
Weight
786 KB
Volume
169
Category
Article
ISSN
0373-3114

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📜 SIMILAR VOLUMES

On solutions of some nonlinear degenerat
On solutions of some nonlinear degenerate parabolic equations
✍ Tokumori Nanbu 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 350 KB

We study the existence and some estimates of solution of the initial- boundary value problem for some nonlinear degenerate parabolic equations \[ u_{t}=\Delta\left(|u|^{m-1} u\right)+\sum_{k=1}^{N} b_{k} \frac{\partial\left(|u|^{l} u\right)}{\partial x_{k}}-A(u)+f(x, t) \]

Existence of solutions for nonlinear ell
Existence of solutions for nonlinear elliptic degenerate equations
✍ A. Benkirane; J. Bennouna 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 274 KB

In this paper, we study the problem -div a(x; u; ∇u) -div (u) + g(x; u) = f in in the setting of the weighted sobolev space W 1;p 0 ( ; ). The main novelty of our work is L ∞ estimates on the solutions, and the existence of a weak and renormalized solution.