Multiplicity of Positive Solutions to Elliptic Systems Involving Multiple Hardy-Type Terms and Concave-Convex Nonlinearities

Project: National Science and Technology CouncilNational Science and Technology Council Academic Grants

Project Details

Abstract

In this project, we consider the following elliptic system involving concave-convex nonlinearities and multiple Hardy-type terms where is a smooth bounded domain such that the different points is the critical Sobolev exponent, is the best Hardy constant and the (q) denotes the completion of space denotes the completion of with respect to the norm The parameters in (1.1) satisfy the following assumption (H) By variational methods, we hope to get the existence and multiplicity results of positive solutions to (1.1).

Project IDs

Project ID:PA10107-0249
External Project ID:NSC101-2115-M182-002
StatusFinished
Effective start/end date01/08/1231/07/13

Keywords

  • multiplicity
  • elliptic system
  • concave-convex nonlinearities
  • Hardy-type terms
  • variational method

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