Local existence of solutions of second order quasilinear elliptic systems and its applications

Local existence of solutions of second order quasilinear elliptic systems and its applications cover
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Abstract

We prove the existence of local solutions of any second order quasilinear elliptic system with prescribed 1-jet and present some applications in Riemannian geometry.

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Yifei Pan, Yu Yan, Local existence of solutions of second order quasilinear elliptic systems and its applications. Port. Math. (2026), published online first

DOI 10.4171/PM/2159