MARATTO

article · Advances in Nonlinear Analysis

Multiplicity results for fractional Schrödinger-Kirchhoff systems involving critical nonlinearities

202312 citationsOpen accessUniversity of Tunis El Manar

Abstract

Abstract In this article, we study certain critical Schrödinger-Kirchhoff-type systems involving the fractional <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>p</m:mi> </m:math> p -Laplace operator on a bounded domain. More precisely, using the properties of the associated functional energy on the Nehari manifold sets and exploiting the analysis of the fibering map, we establish the multiplicity of solutions for such systems.

Research topics

  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Advanced Mathematical Physics Problems

Sustainable Development Goals

Read the original research

This page summarises published work. The authoritative version sits with the publisher.

DOI: 10.1515/anona-2022-0318

Is something wrong with this record? Report it or request removal.

Discussion

Discuss this research

Have you built on this work, tried to replicate it, or seen it applied in practice? Share what you know. Verified researchers and MARATTO™ domain experts can open a discussion, and any member can reply. Contributions are reviewed before they appear.

No discussion yet. Open the first thread.