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math.APSep 5, 2012
27
citations (OpenAlex)
authors
  • Francesco Della Pietra
  • Nunzia Gavitone
institutions
  • University of Molise
  • University of Naples Federico II
arXiv abstractPDF
paper

Anisotropic elliptic equations with general growth in the gradient and Hardy-type potentials

arXiv:1209.0928 · doi:10.1016/j.jde.2013.07.019

Abstract

We give existence and regularity results for solutions of some nonlinear elliptic problems. The equations we deal with are modeled on a problem which involves in its principal part an anisotropic operator, a Hardy-type potential, and a lower-order term depending on the gradient.

References in corpus (1)

  • Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators

Cited by in corpus (9)

  • Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators
  • Faber-Krahn inequality for anisotropic eigenvalue problems with Robin boundary conditions
  • An overdetermined problem for the anisotropic capacity
  • Convex Symmetrization for Anisotropic Elliptic Equations with a lower order term
  • Series expansion of weighted Finsler-Kato-Hardy inequalities
  • A symmetrization result for a class of anisotropic elliptic problems
  • Pohozaev identity for the anisotropic p-Laplacian and estimates of torsion function
  • Symmetrization with respect to the anisotropic perimeter and applications
  • A priori estimates for solutions to anisotropic elliptic problems via symmetrization
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