Symmetrization results for elliptic equations with lower-order terms. (English) Zbl 0796.35034

Ferone, Vincenzo; Posteraro, M. Rosaria

Atti Semin. Mat. Fis. Univ. Modena 40, No. 1, 47-61 (1992).

Summary: We give a pointwise bound for the rearrangement of a solution of Dirichlet problem for linear elliptic equations of general form and an existence result for the same kind of problem.

MSC:

35J25	Boundary value problems for second-order elliptic equations
35R05	PDEs with low regular coefficients and/or low regular data
35B45	A priori estimates in context of PDEs
35D05	Existence of generalized solutions of PDE (MSC2000)

Keywords:

linear elliptic equation of general type; \(L^ \infty\)-coefficients; Dirichlet problem; comparision with the symmetrized problem