Geometry of phase plane and radial solutions for nonlinear elliptic equations with extremal operators |
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| Authors: | Patricio Felmer Jinggang Tan |
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| Affiliation: | a Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático, Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile
b Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla: 110-V, Avda. España 1680, Valparaíso, Chile |
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| Abstract: | We study the existence of positive radially symmetric solutions to a class of nonlinear elliptic problems involving extremal operators and nonlinearity of exponential or polynomial type. According to the values of a parameter, we describe situations where the equation has one, finitely many, infinitely many or no solutions, by using the geometry structure of phase plane. |
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| Keywords: | Phase plane analysis Fully nonlinear equations Extremal operator Pucci's operators |
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