We study existence and nonexistence of radial positive solutionsfor a class of fully nonlinear equations involving Pucci’s extremal operators.By analyzing the periodic orbits of an associated dynamical system we areable to give estimates on the range of the exponents for which entire oscillatingsolutions exist. This, in turn, allows to improve previous bounds on the criticalexponents defined in [2]
Oscillatory solutions and critical exponents for fully nonlinear equations / Pacella, Filomena; Stolnicki, David. - In: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1072-6691. - Special Issue 01(2021). [10.58997/ejde.sp.01.p1]
Oscillatory solutions and critical exponents for fully nonlinear equations
Pacella, Filomena
;Stolnicki, David
2021
Abstract
We study existence and nonexistence of radial positive solutionsfor a class of fully nonlinear equations involving Pucci’s extremal operators.By analyzing the periodic orbits of an associated dynamical system we areable to give estimates on the range of the exponents for which entire oscillatingsolutions exist. This, in turn, allows to improve previous bounds on the criticalexponents defined in [2]| File | Dimensione | Formato | |
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