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- W2017363071 abstract "In this paper, it is shown that there are no global solutions (in all of $R^n $) to nonlinear elliptic equations of the form [ sum_{i,j = 1}^n {frac{partial }{{partial x_i }}left( {a_{ij} (x)frac{{partial u}}{{partial x_i }}} right)} = f(x,u,{operatorname{grad}}u)] if $f(x,u,p) geqq g(u)$, where g is a convex, nonnegative function (nondecreasing if $n > 2$) such that $g^{ - {1 / 2}} $ is integrable near infinity unless $g(u(x)) equiv 0$." @default.
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- W2017363071 date "1976-05-01" @default.
- W2017363071 modified "2023-10-02" @default.
- W2017363071 title "On the Nonexistence of Entire Solutions to Nonlinear Second Order Elliptic Equations" @default.
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- W2017363071 doi "https://doi.org/10.1137/0507027" @default.
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