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- W4301121065 abstract "In this work, we study the existence of local solutions in $mathbb{R}^{n}$ to $k$-Hessian equation,for which the nonhomogeneous term $f$ is permitted to change the sign or be non negative; if $f$ is $C^infty,$ so is the local solution. We also give a classification for the second order polynomial solutions to the $k-$Hessian equation, it is the basis to construct the local solutions and obtain the uniform ellipticity of the linearized operators at such constructed local solutions." @default.
- W4301121065 created "2022-10-04" @default.
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- W4301121065 date "2014-12-09" @default.
- W4301121065 modified "2023-09-27" @default.
- W4301121065 title "Local solvability of the $k$-Hessian equations" @default.
- W4301121065 hasPublicationYear "2014" @default.
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