Oscillatory solutions and critical exponents for fully nonlinear equations-Reference-Cited by-同舟云学术

Oscillatory solutions and critical exponents for fully nonlinear equations

Published:2021-10-06 Issue:Special Issue 01 Volume: Page:
ISSN:1072-6691
Container-title:Electronic Journal of Differential Equations
language:
Short-container-title:ejde

Author:

Pacella Filomena,Stolnicki David

Abstract

We study existence and nonexistence of radial positive solutions for a class of fully nonlinear equations involving Pucci's extremal operators. By analyzing the periodic orbits of an associated dynamical system we are able to give estimates on the range of the exponents for which entire oscillating solutions exist. This, in turn, allows to improve previous bounds on the critical exponents defined in [2]. For more information see https://ejde.math.txstate.edu/special/01/p1/abstr.html

Publisher

Texas State University

Subject

Analysis

Reference5 articles.

1. A. Cutri, F. Leoni; On the Liouville property for fully nonlinear equations, Ann. Inst. H. Poincare Anal. Non Lineaire, vol. 17, 2000.

2. P. L. Felmer, A. Quaas; On critical exponents for the Puccis extremal operators, Ann. Inst. H. Poincare Anal. Non Lineaire, vol. 20, 2003.

3. P. L. Felmer, A. Quaas; Positive radial solutions to a semilinear equation involving the Puccis operator, J. Differential Equations, vol. 199, 2004. 4] L. Maia, G. Nornberg, F. Pacella; A dynamical system approach to a class of radial weighted fully nonlinear equations, Comm. Partial Differential Equations, vol. 46, 2021.

4. F. Pacella, D. Stolnicki; On a class of fully nonlinear elliptic equation in dimension two, J. Differential Equations (to appear),

5. A. Quaas, B. Sirakov; Existence results for nonproper elliptic equations involving the Pucci operator, Comm. Partial Differential Equations, vol. 31, 2006.