C∞ local solutions of elliptical 2−Hessian equation in R
نویسندگان
چکیده
In this work, we study the existence ofC local solutions to 2-Hessian equation in R . We consider the case that the right hand side function f possibly vanishes, changes the sign, is positively or negatively defined. We also give the convexities of solutions which are related with the annulation or the sign of right-hand side function f . The associated linearized operator are uniformly elliptic.
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