Nonlinear problems with unbounded coefficients and L1 data

被引：0

作者：

Feo, Filomena ^{[1
]}

Guibe, Olivier ^{[2
]}

机构：

[1] Univ Napoli Parthenope, Dipartimento Ingn, Isola C4 Ctr Direz, I-80100 Naples, Italy

[2] Univ Rouen Normandie, Lab Math Raphael Salem, F-76801 St Etienne Du Rouvray, France

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2020年 / 27卷 / 05期

关键词：

Nonlinear equations; Blow-up; Existence; Renormalized solutions; Integrable data; SINGULAR DIFFUSION; EXISTENCE; EQUATIONS;

D O I：

10.1007/s00030-020-00652-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of nonlinear elliptic problems whose prototype involves a coefficients matrix blowing up for a finite valuemof the unknownu. Since datum is in L-1, a suitable notion of renormalized solutions is introduced taking into account thatucan reach the valuemand the existence of such solutions is proved. We study the corresponding evolution problem as well.

引用

页数：28

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