Nonlinear eigenvalues and bifurcation problems for Pucci's operators
By J. Busca, Maria J. Esteban, Alexander Quaas. 2004
107 citations recorded by the source corpus.
In this paper we extend existing results concerning generalized eigenvalues of Pucci's extremal operators. In the radial case, we also give a complete description of their spectrum, together with an equivalent of Rabinowitz's Global Bifurcation Theorem. This allows us to solve nonlinear equations involving Pucci's operators.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/1c99b324631afc8d2cdb10bc880c73a224111b81
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In Applied Mathematics
- S. Armstrong
- Isabeau Birindelli
- Françoise Demengel
- Zhongwei Shen
- Jean-Christophe Mourrat
- Charles K. Smart
- Tuomo Kuusi
- Boyan Sirakov
In Computational Theory and Mathematics
- S. Armstrong
- Isabeau Birindelli
- Françoise Demengel
- Jean-Christophe Mourrat
- Zhongwei Shen
- Tuomo Kuusi
- Felix Otto
- Antoine Gloria
In Mathematical Physics
Citations in the corpus
- A family of degenerate elliptic operators: Maximum principle and its consequences (2016, unknown): “ether these generalized principal eigenvalues correspond to an eigenfunction. In the case of uniformly elliptic fully nonlinear operators, this has been proved to be the case in different context (see [3, 6, 9, 20, 24, 27]). We are able to give a positive answer to this question when k = 1 and Ω is a”
- Regularity and uniqueness of the first eigenfunction for singular fully nonlinear operators (2009, background): “where the ei denote the eigenvalues of the matrix D (2)u (see [10]).”
- Principal eigenvalues and an anti-maximum principle for homogeneous fully nonlinear elliptic equations (2008, background): “For more on eigenvalues of nonlinear elliptic operators, we refer to [6, 16, 22].”