B. Sirakov

activity

20092026

most citedFundamental solutions of homogeneous fully nonlinear elliptic equations

8 citations · 11 across the 10 of their papers we have counts for

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Showing 2018 · math.APShow all

2 papers · 2 filters

math.AP2018

Uniform a priori estimates for positive solutions of the Lane-Emden equation in the plane

Nikola Kamburov, Boyan Sirakov

We prove that positive solutions of the Lane-Emden equation in a two-dimensional smooth bounded domain are uniformly bounded for all large exponents.

math.AP2018

A priori bounds and multiplicity for fully nonlinear equations with quadratic growth in the gradient

Gabrielle Nornberg, Boyan Sirakov

We consider fully nonlinear uniformly elliptic equations with quadratic growth in the gradient, such as $- F (x, u, D u, D^{2} u) = λ c (x) u + ⟨ M (x) D u, D u ⟩ + h (x)$ in a bounde…