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Zbl 0859.35028
Pašić, M.
Isoperimetric inequalities in quasilinear elliptic equations of Leray-Lions type.
(English)
[J] J. Math. Pures Appl., IX. Sér. 75, No.4, 343-366 (1996). ISSN 0021-7824

A kind of quasilinear elliptic partial differential equation of Leray-Lions type is considered. As the base, the author introduces and proves a pointwise comparison principle for some nonlinear ordinary differential equations. Moreover, the existence and the uniqueness of spherically symmetric solution for the suitable symmetrized partial differential equation is shown. Then by the preceding results, the author gives symmetrization results, precise a priori estimates and the existence of a solution for the main equation. Finally, an application of the preceding results to a general asymptotic problem associated with Leray-Lions operators is announced.
[M.Pašić (Zagreb)]
MSC 2000:
*35J60 Nonlinear elliptic equations
26D10 Inequalities involving derivatives, diff. and integral operators
35B05 General behavior of solutions of PDE
34C11 Qualitative theory of solutions of ODE: Growth, etc.

Keywords: pointwise comparison principle; spherically symmetric solution; Leray-Lions operators

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