Estimates for Solutions to Anisotropic Elliptic Equations with Zero Order Term

被引：3

作者：

Alberico, Angela ^{[1
]}

Di Blasio, Giuseppina ^{[2
]}

Feo, Filomena ^{[3
]}

机构：

[1] CNR, Ist Applicaz Calcolo M Picone, Sez Napoli, I-80131 Naples, Italy

[2] Seconda Univ Napoli, Dipartimento Matemat & Fis, Via Vivaldi 43, I-81100 Caserta, Italy

[3] Univ Napoli Pathenope, Dipartimento Ingn, Ctr Direz Isola C4, I-80143 Naples, Italy

来源：

GEOMETRIC PROPERTIES FOR PARABOLIC AND ELLIPTIC PDE'S | 2016年 / 176卷

关键词：

Anisotropic symmetrization; A priori estimate; Anisotropic Dirichlet problems; ISOPERIMETRIC-INEQUALITIES; REGULARITY; UNIQUENESS; SYMMETRIZATION; EXISTENCE; THEOREMS;

D O I：

10.1007/978-3-319-41538-3_1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Estimates for solutions to homogeneous Dirichlet problems for a class of elliptic equations with zero order term in the form L(u) = g(x, u) + f (x), where the operator L fulfills an anisotropic elliptic condition, are established. Such estimates are obtained in terms of solutions to suitable problems with radially symmetric data, when no sign conditions on g are required.

引用

页码：1 / 15

页数：15

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