Harnack type estimates for nonlinear elliptic systems and applications
By J. Busca, Boyan Sirakov. 2004
83 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/0c320c6ada84b4f3e567c194f5ab2f019bb122d1
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In Applied Mathematics
In Mathematical Physics
Citations in the corpus
- About the Pricing Equations in Finance (2011, background): “(ii) The monotonicity Assumption 8(iii) on g means that we deal with a cooperative system of PIDEs (see, for instance, Busca and Sirakov [29]).”
- Least Energy Solitary Waves for a System of Nonlinear Schrödinger Equations in $${\mathbb{R}^n}$$ (2007, background): “A general notion of full coupling for nonlinear systems was given and analyzed in [ 6 ]; for a system −� u =∇ f (u) full coupling would be implied for example by fu1 (0, s )> 0, fu2 (s, 0 )> 0f ors > 0. It is the semi-coupled nature of system (4) which causes the phenomena described in Theorems 1 an”
- A Hamilton-Jacobi approach for a model of population structured by space and trait (2013, background): “This is indeed a consequence of the Harnack inequality [15] for the solutions of (1.”