Existence of strong solutions of Pucci extremal equations with superlinear growth in Du

被引：0

作者：

Shigeaki Koike

Andrzej Święch

机构：

[1] Saitama University,Department of Mathematics

[2] Georgia Institute of Technology,School of Mathematics

来源：

Journal of Fixed Point Theory and Applications | 2009年 / 5卷

关键词：

35J60; 35J25; 49L25; Strong solutions; viscosity solutions; Pucci extremal equation; weak Harnack inequality;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove existence of strong solutions of Pucci extremal equations with superlinear growth in Du and unbounded coefficients. We apply this result to establish the weak Harnack inequality for Lp-viscosity supersolutions of fully nonlinear uniformly elliptic PDEs with superlinear growth terms with respect to Du.

引用

页码：291 / 304

页数：13

共 50 条

[1] Existence of strong solutions of Pucci extremal equations with superlinear growth in Du
Koike, Shigeaki
Swiech, Andrzej
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2009, 5 (02) : 291 - 304
[2] Homogeneous solutions of extremal Pucci's equations in planar cones
Leoni, Fabiana
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (02) : 863 - 879
[3] Oscillating solutions for nonlinear equations involving the Pucci's extremal operators
d'Avenia, Pietro
Pomponio, Alessio
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2020, 55
[4] EXISTENCE RESULTS FOR EVOLUTION EQUATIONS WITH SUPERLINEAR GROWTH
Benedetti, Irene
Rocha, Eugenio M.
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019, 54 (2B) : 917 - 936
[5] Existence of solutions for quasilinear elliptic equations with superlinear nonlinearities
Jia Gao
Huang Lina
Zhang Xiaojuan
Boundary Value Problems, 2012
[6] Existence of positive solutions on indefinite superlinear elliptic equations
Afrouzi, GA
APPLIED MATHEMATICS AND COMPUTATION, 2004, 157 (03) : 841 - 848
[7] Existence and uniqueness of solutions to parabolic equations with superlinear Hamiltonians
Davini, Andrea
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2019, 21 (01)
[8] Existence of solutions for quasilinear elliptic equations with superlinear nonlinearities
Jia Gao
Huang Lina
Zhang Xiaojuan
BOUNDARY VALUE PROBLEMS, 2012,
[9] Existence of extremal solutions for quadratic fuzzy equations
Juan J Nieto
Rosana Rodríguez-López
Fixed Point Theory and Applications, 2005
[10] Existence of extremal solutions for quadratic fuzzy equations
Nieto, Juan J.
Rodriguez-Lopez, Rosana
FIXED POINT THEORY AND APPLICATIONS, 2005, 2005 (03) : 321 - 342

← 1 2 3 4 5 →