Artículos de revistas
Existence And Symmetry For Elliptic Equations In ℝn With Arbitrary Growth In The Gradient
Registro en:
Journal D'analyse Mathematique. Springer New York Llc, v. 130, n. 1, p. , 2016.
0021-7670
10.1007/s11854-016-0027-7
2-s2.0-84996558959
Autor
Ferreira L.C.F.
Montenegro M.
Santos M.C.
Institución
Resumen
We study the semilinear elliptic equation Δu + g(x, u, Du) = 0 in ℝn. The nonlinearities g can have arbitrary growth in u and Du, including, in particular, exponential behavior. No restriction is imposed on the behavior of g(x, z, p) at infinity except in the variable x. We obtain a solution u which is locally unique and inherits many of the symmetry properties of g. Positivity and asymptotic behavior of the solution are also addressed. Our results can be extended to other domains, such as the half-space and exterior domains. Finally, we give some examples. © 2016, Hebrew University Magnes Press. 130 1