Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 43 min ago
Peer-reviewedCC BYElectronic Journal of Differential Equations

Ground state solutions for fractional p-Laplace equations with mixed nonlinearities in the critical and subcritical cases

  • Senli Liu1
  • Yu Su2
  1. 1Hunan Univ.y of Science and Tech., Xiangtan, Hunan, China
  2. 2Anhui Univ. of Science and Tech., Huainan, Anhui, China
Read full textCite

Abstract

In this article, we study fractional p-Laplace equations with mixed nonlinearities. By employing Lieb's compactness theorem and a generalized Sobolev inequality involving Morrey norms in Ds,p(ℝN), we establish the existence of ground state solutions under appropriate subcritical and critical growth conditions.

Related

  1. Existence and non-existence of nonradial solutions to an elliptic equation on hyperbolic space with critical and subcritical nonlinearities
    Atanu Manna, Bhakti Bhusan Manna
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsarXiv
  2. Mixed Grushin Heat Equations with Riesz-Potential Nonlinearities in Marcinkiewicz Spaces: Subcritical, Critical, and Supercritical Regimes
    Aparajita Dasgupta, Uttam Kumar Dolai
    arXivPreprintCC BY-NC-ND 4.0Full textAnalysis & PDEsarXiv
  3. Solutions to critical equations with a superposition of nonlocal Hartree-type nonlinearities
    Artur Jorge Marinho, Kanishka Perera
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  4. On solutions for damped fractional Navier-Stokes equations in a critical Lei-Lin-Gevrey space
    Bruno S. Donato, Wilberclay G. Melo, Thyago S. R. Santos
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  5. On symmetry and monotonicity of singular solutions to critical fractional Hartree equations
    Guangze Gu, Aleks Jevnikar, Zhipeng Yang
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv

Cite

BibTeXRIS
BibTeX
@article{liu2026ground,
  title = {{Ground state solutions for fractional p-Laplace equations with mixed nonlinearities in the critical and subcritical cases}},
  author = {Senli Liu and Yu Su},
  journal = {Electronic Journal of Differential Equations},
  year = {2026},
  month = sep,
  url = {http://ejde.math.txstate.edu/Volumes/2026/76/abstr.html},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Ground state solutions for fractional p-Laplace equations with mixed nonlinearities in the critical and subcritical cases
AU  - Senli Liu
AU  - Yu Su
PY  - 2026
DA  - 2026/09/01
JO  - Electronic Journal of Differential Equations
UR  - http://ejde.math.txstate.edu/Volumes/2026/76/abstr.html
AB  - In this article, we study fractional p-Laplace equations with mixed nonlinearities. By employing Lieb's compactness theorem and a generalized Sobolev inequality involving Morrey norms in D^s,p(ℝ^N), we establish the existence of ground state solutions under appropriate subcritical and critical growth conditions.
SN  - 1072-6691
ER  -