Electron. J. Diff. Equ., Vol. 2016 (2016), No. 200, pp. 1-25.

Existence of bounded solutions for quasilinear parabolic systems with quadratic growth

Rezak Souilah

Assuming the existence of an upper and a lower solution, we prove the existence of at least one bounded solution of a quasilinear parabolic systems, with nonlinear second member having a quadratic growth with respect to the gradient of the solution.

Submitted February 23, 2016. Published July 27, 2016.
Math Subject Classifications: 35K40, 35K59, 35K51.
Key Words: Quasilinear parabolic systems; quadratic growth; upper and lower solutions; bounded solutions.

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Rezak Souilah
Université Dr. Yahia Fares Médéa
Faculé des sciences économiques, commerciales et de gestions
Médéa, Algeria
email: souilah.rezak@yahoo.com

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