Pašić, M. Isoperimetric inequalities in quasilinear elliptic equations of Leray-Lions type. (English) Zbl 0859.35028 J. Math. Pures Appl., IX. Sér. 75, No. 4, 343-366 (1996). 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. Reviewer: M.Pašić (Zagreb) Cited in 6 Documents MSC: 35J60 Nonlinear elliptic equations 26D10 Inequalities involving derivatives and differential and integral operators 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs 34C11 Growth and boundedness of solutions to ordinary differential equations Keywords:pointwise comparison principle; spherically symmetric solution; Leray-Lions operators PDFBibTeX XMLCite \textit{M. Pašić}, J. Math. Pures Appl. (9) 75, No. 4, 343--366 (1996; Zbl 0859.35028)