JOURNAL ARTICLE

Extremal solutions to differential equations with singular p(t)-Laplacian.

  • Published In: Communications in Contemporary Mathematics, 2026, v. 28, n. 3. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Naito, Yūki; Yamamoto, Kenta 3 of 3

Abstract

We consider positive solutions of the nonlinear differential equations (| x ′ | p (t) − 2 x ′) ′ + a (t) f (x) = 0 involving singular p (t) -Laplacian, i.e. p (t) > 1 and p (t) → 1 as t → ∞. Sufficient conditions are given for the existence and nonexistence of extremal solutions, which do not appear in the case where p (t) ≥ p 0 for some constant p 0 > 1. Furthermore, we investigate the asymptotic properties of the extremal solutions, and give some examples to illustrate our results. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Communications in Contemporary Mathematics. 2026/04, Vol. 28, Issue 3, p1
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2026
  • ISSN:0219-1997
  • DOI:10.1142/S0219199725500427
  • Accession Number:191138741
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