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arXiv · 1806.09798

A Hopf-type boundary point lemma for pairs of solutions to quasilinear equations

Leobardo Rosales
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Abstract

We show a Hopf boundary point lemma for $u=u_{1}-u_{2},$ given $u_{1},u_{2} \in C^{1,\alpha}$ each weak solutions to a quasilinear equation $\sum_{i=1}^{n} D_{i}(A^{i}(x,u,Du))+B(x,u,Du)=0$ under mild boundedness assumptions on $A^{1},\ldots,A^{n},B.$

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Leobardo Rosales. 2018-06-26. A Hopf-type boundary point lemma for pairs of solutions to quasilinear equations. https://arxiv.org/abs/1806.09798

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