Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 103, 2024 - Issue 4
Submit an article Journal homepage
99
Views
0
CrossRef citations to date
0
Altmetric
Research Article

A system of wave inequalities with inverse-square potentials in an exterior domain

Areej Bin SultanDepartment of Mathematics, College of Science, King Saud University, Riyadh, Saudi ArabiaView further author information
,
Mohamed JleliDepartment of Mathematics, College of Science, King Saud University, Riyadh, Saudi ArabiaView further author information
&
Bessem SametDepartment of Mathematics, College of Science, King Saud University, Riyadh, Saudi ArabiaCorrespondence[email protected]
View further author information
Pages 843-857 | Received 09 Dec 2022, Accepted 27 Apr 2023, Published online: 04 May 2023

References

  • Adimurthi , Filippas S, Tertikas A. On the best constant of Hardy-Sobolev inequalities. Nonlinear Anal. 2009;70:2826–2833.
  • Brezis H, Dupaigne L, Tesei A. On a semilinear elliptic equation with inverse-square potential. Selecta Math (NS). 2005;11(1):1–7.
  • Abdellaoui B, Attar A. Quasilinar elliptic problem with Hardy potential and singular term. Comm Pure Appl Anal. 2013;12(3):1363–1380.
  • Abdellaoui B, Peral I. Some results for semilinear elliptic equations with critical potential. Proc Roy Soc Edinb A. 2002;132(1):1–24.
  • Chen H, Véron L. Weak solutions of semilinear elliptic equations with Leray-Hardy potential and measure data. Math Eng. 2019;1(3):391–418.
  • Dupaigne L. Semilinear elliptic PDEs with a singular potential. J Anal Math. 2002;86(1):359–398.
  • Fall M. Nonexistence of distributional supersolutions of a semilinear elliptic equation with Hardy potential. J Funct Anal. 2013;264(3):661–690.
  • Pohozaev SI, Tesei A. Nonexistence of local solutions to semilinear partial differential inequalities. Ann Inst H Poincaré Anal Non Linéaire. 2004;21(4):487–502.
  • Abdellaoui B, Miri SE, Peral I, et al. Some remarks on quasilinear parabolic problems with singular potential and a reaction term. Nonlinear Differ Equ Appl. 2014;21(4):453–490.
  • Abdellaoui B, Peral I, Primo A. Influence of the Hardy potential in a semi-linear heat equation. Proc R Soc Edinburgh Sect A. 2009;139(5):897–926.
  • de Almeida MF, Ferreira LCF, Precioso JC. On the heat equation with nonlinearity and singular anisotropic potential on the boundary. Potential Anal. 2017;46(3):589–608.
  • Attar A, Merchan S, Peral I. A remark on existence of semilinear heat equation involving a Hardy-Leray potential. J Evol Equ. 2015;15(1):239–250.
  • Baras P, Goldstein JA. The heat equation with a singular potential. Trans Amer Math Soc. 1984;284(1):121–139.
  • Cabré X, Martel Y. Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier. C R Acad Sci Paris Sér I Math. 1999;329(11):973–978.
  • El Hamidi A, Laptev GG. Existence and nonexistence results for higher-order semilinear evolution inequalities with critical potential. J Math Anal Appl. 2005;304(2):451–463.
  • Jleli M, Samet B, Vetro C. On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain. Adv Nonlinear Anal. 2021;10(1):1267–1283.
  • Jleli M, Samet B, Ye D. Critical criteria of Fujita type for a system of inhomogeneous wave inequalities in exterior domains. J Differ Equ. 2019;268(6):3035–3056.
  • Sun Y. The absence of global positive solutions to semilinear parabolic differential inequalities in exterior domain. Proc AMS. 2017;145(8):3455–3464.
  • Sun Y. Nonexistence results for systems of elliptic and parabolic differential inequalities in exterior domains of RN. Pacific J Math. 2018;293(1):245–256.
  • Zhang Q. A general blow-up result on nonlinear boundary-value problems on exterior domains. Proc Roy Soc Edinburgh. 2001;131(2):451–475.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.