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Ground state solution and optimal Gagliardo–Nirenberg constant for the p-Choquard functional

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Publication:5002441
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DOI10.1063/1.5013980zbMath1465.35260OpenAlexW2772424787MaRDI QIDQ5002441

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Publication date: 27 July 2021

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5013980



Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Quasilinear elliptic equations with (p)-Laplacian (35J92)




Cites Work

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  • Stationary solutions of the Schrödinger-Newton model -- an ODE approach.
  • Nonlinear Schrödinger equations and sharp interpolation estimates
  • Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
  • Existence of solitary waves in higher dimensions
  • Existence and uniqueness of ground states for \(p\)-Choquard model
  • On gravity's role in quantum state reduction
  • The Choquard equation and related questions
  • Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation


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