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arXiv · 2004.07189

Existence issues for a large class of degenerate elliptic equations with nonlinear Hamiltonians

I. Birindelli·G. Galise·A. Rodríguez
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Abstract

We give sufficient conditions for the existence and uniqueness, in bounded uniformly convex domains $\Omega$, of solutions of degenerate elliptic equations depending also on the nonlinear gradient term $H$, in term of the size of $\Omega$, of the forcing term $f$ and of $H$. The results apply to a wide class of equations, having as principal part significant examples, e.g. linear degenerate operators, weighted partial trace operators and the homogeneous Monge-Amp\`ere operator.

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I. Birindelli, G. Galise, A. Rodríguez. 2020-04-15. Existence issues for a large class of degenerate elliptic equations with nonlinear Hamiltonians. https://arxiv.org/abs/2004.07189

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