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Article detail · 2024 · article

Existence and Blow up of Solutions for m(x)-Biharmonic equation with Variable Exponent Sources

Journal FİLOMAT The ISSN points to another catalog journal; the name is from the YÖKSİS record.
ISSN0354-5180
YÖKSİS OpenAlex Open access · diamond Top 10%
Year2024
Citations9OpenAlex
Percentile%98.1
FWCI6.281.00 = world average
Scopus (SJR)Q2
WoS (JCR)Q2

Data source split

  • YÖKSİSYÖKSİS article record
  • YÖKSİS venueFİLOMAT
  • Catalog match (ISSN)Filomat
  • OpenAlexOpenAlex enrichment (abstract, citations, topics)
  • Semantic Scholarcitation count (not merged with OpenAlex)

Abstract

OpenAlex English

In this work concerned with the existence and blow up of solutions for m(x)? biharmonic equation with variable exponent sources. Under appropriate conditions, we discuss the stationary problem and potential wells. By using the Faedo-Galerkin method, we prove the global existence of the solution. We also investigate the blow up of solutions with negative initial energy.

Topics

Citations

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

9citationsOpenAlex · cited_by_count (cache / database)

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

  1. 2024 Blow up of solutions for a fourth-order reaction-diffusion equation in variable-exponent Sobolev spacesCitations 6 · OpenAlex
  2. 2025 Existence and blow up of solutions for a m-biharmonic viscoelastic equation with variable exponentsCitations 2 · OpenAlex
  3. 2026 Well-Posedness and Blow-Up of Solutions to a𝒑(𝒙)-Laplacian Plate Equation With Variable-ExponentNonlocal Damping and Logarithmic SourceCitations 1 · OpenAlex
  4. 2026 Well‐Posedness and Blow‐Up of Solutions to a p(x)‐Laplacian Plate Equation With Variable‐Exponent Nonlocal Damping and Logarithmic SourceCitations 1 · OpenAlex
  5. 2025 Qualitative analysis of solutions for a parabolic m(x)- biharmonic equation with logarithmic nonlinearityCitations 0 · OpenAlex

Authors

2
  1. GÜLİSTAN BUTAKIN 1
  2. ERHAN PİŞKİN DİCLE ÜNİVERSİTESİ 2