Oscillating solutions for nonlinear equations involving the Pucci's extremal operators

被引：0

作者：

d'Avenia, Pietro ^{[1
]}

Pomponio, Alessio ^{[1
]}

机构：

[1] Politecn Bari, Dipartimento Meccan Matemat & Management, Via Orabona 4, I-70125 Bari, Italy

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2020年 / 55卷

关键词：

Pucci's extremal operators; Fully nonlinear operator equations; Oscillating solutions; POSITIVE RADIAL SOLUTIONS; CRITICAL EXPONENTS; UNIQUENESS; EXISTENCE;

D O I：

10.1016/j.nonrwa.2020.103118

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the following nonlinear equations M-lambda,Lambda(+/- )(D(2)u) + g(u) = 0 inR(N), where M-lambda,Lambda(+/-) are the Pucci's extremal operators, for N >= 1 and under the A assumption g'(0) > 0. We show the existence of oscillating solutions, namely with an unbounded sequence of zeros. Moreover these solutions are periodic, if N = 1, while they are radial symmetric and decay to zero at infinity with their derivatives, if N >= 2. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：19

共 50 条

[21] Existence and multiplicity results for Pucci's operators involving nonlinearities with zeros
Alarcon, Salomon
Iturriaga, Leonelo
Quaas, Alexander
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2012, 45 (3-4) : 443 - 454
[22] Representation formula for viscosity solution to a PDE problem involving Pucci's extremal operator
Pozza, Marco
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 57
[23] ON EXTREMAL SOLUTIONS OF CONTROLLED NONLINEAR FILTERING EQUATIONS
BORKAR, VS
KUMAR, S
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1995, 33 (03) : 718 - 724
[24] Positive radial solutions to a 'semilinear' equation involving the Pucci's operator
Felmer, PL
Quaas, A
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 199 (02) : 376 - 393
[25] Abstract criteria for multiple solutions to nonlinear coupled equations involving magnetic Schrodinger operators
Enstedt, M.
Melgaard, M.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 253 (06) : 1729 - 1743
[26] ERGODIC PAIRS FOR DEGENERATE PSEUDO PUCCI'S FULLY NONLINEAR OPERATORS
Demengel, Francoise
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 41 (07) : 3465 - 3488
[27] Existence and Regularity Results for Fully Nonlinear Operators on the Model of the Pseudo Pucci’s Operators
Birindelli I.
Demengel F.
Journal of Elliptic and Parabolic Equations, 2016, 2 (1-2) : 171 - 187
[28] Extremal solutions of nonlinear functional discontinuous fractional equations
Alberto Cabada
Om Kalthoum Wanassi
Computational and Applied Mathematics, 2021, 40
[29] Extremal, Nodal and Stable Solutions for Nonlinear Elliptic Equations
Gasinski, Leszek
Papageorgiou, Nikolaos S.
ADVANCED NONLINEAR STUDIES, 2015, 15 (03) : 629 - 665
[30] Extremal solutions of nonlinear functional discontinuous fractional equations
Cabada, Alberto
Wanassi, Om Kalthoum
COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (01):

← 1 2 3 4 5 →