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Article detail · 2024 · article

Existence, decay and blow up of solutions for a weighted m-biharmonic equation with nonlinear damping and source terms

ISSN2314-8888
YÖKSİS OpenAlex Open access · gold
Year2024
Citations6OpenAlex
Percentile%71.8
FWCI1.021.00 = world average
Scopus (SJR)Q2
WoS (JCR)Q1

Data source split

  • YÖKSİSYÖKSİS article record
  • YÖKSİS venueJournal of Function Spaces
  • Catalog match (ISSN)Journal of Function Spaces
  • OpenAlexOpenAlex enrichment (abstract, citations, topics)
  • Semantic Scholarcitation count (not merged with OpenAlex)

Abstract

OpenAlex English

In this paper, we consider the weighted m -biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao’s inequality. Finally, we proved the blow-up of solutions in finite time.

Topics

Citations

OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.

6citationsOpenAlex · cited_by_count (cache / database)

4 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).

  1. 2025 Existence and blow up of solution for a Petrovsky equations of Hartree typeCitations 3 · OpenAlex
  2. 2026 Blow-up and global existence of solutions for a higher-order reaction diffusion equation with singular potentialCitations 2 · OpenAlex
  3. 2025 Existence and blow up of solutions for a singular higher-order viscoelastic parabolic equation with logarithmic nonlinearityCitations 1 · OpenAlex
  4. 2025 Qualitative analysis of solutions for a parabolic m(x)- biharmonic equation with logarithmic nonlinearityCitations 0 · OpenAlex

Authors

3
  1. AYŞE FİDAN 1
  2. ERHAN PİŞKİN DİCLE ÜNİVERSİTESİ 2
  3. ERCAN ÇELİK 3