A class of elliptic equations in anisotropic spaces

作者:Ferreira Lucas C F; Medeiros Everaldo S; Montenegro Marcelo*
来源:Annali di Matematica Pura ed Applicata, 2013, 192(4): 539-552.
DOI:10.1007/s10231-011-0236-8

摘要

The equation Delta u + V(x)u + b(x)u|u| (rho -1) + h(x) = 0 in is studied in anisotropic Lebesgue spaces. We assume , with n a parts per thousand yen 3 and 0 a parts per thousand currency sign theta < 2, which covers the supercritical range. Our approach relies on estimates of the Riesz potential and allows us to consider a wide class of potentials V, including anisotropic ones. The symmetry and antisymmetry of the solutions are also addressed.

  • 出版日期2013-8

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