4.6 Article

On fractional Choquard equations

Journal

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 25, Issue 8, Pages 1447-1476

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202515500384

Keywords

Fractional Laplacian; Choquard equation; existence; nonexistence; multiplicity

Funding

  1. GNAMPA project Aspetti differenziali e geometrici nello studio di problemi ellittici quasilineari
  2. CNPq
  3. FAPESP, Brazil
  4. GNAMPA project Problemi al contorno per operatori non locali non lineari

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We investigate a class of nonlinear Schrodinger equations with a generalized Choquard nonlinearity and fractional diffusion. We obtain regularity, existence, nonexistence, symmetry as well as decays properties.

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