Blow up results for a viscoelastic Kirchhoff-type equation with logarithmic nonlinearity and strong damping
Mathematica Moravica, Tome 25 (2021) no. 2.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

A Kirchhoff equation type with memory term competing with a logarithmic source is considered. By using potential well theory, we obtained the global existence of solution for the initial data in a stability set created from Nehari Manifold and prove blow up results for initial data in the instability set.
Mots-clés : Existence, blow up, Kirchhoff-type equation with memory, logarithmic nonlinearity. 
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     author = {Jorge Ferreira and Erhan Pi\c{s}kin and Nazl{\i} Irk{\i}l and Carlos Raposo},
     title = {Blow up results for a viscoelastic {Kirchhoff-type} equation with logarithmic nonlinearity and strong damping},
     journal = {Mathematica Moravica},
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Jorge Ferreira; Erhan Pişkin; Nazlı Irkıl; Carlos Raposo. Blow up results for a viscoelastic Kirchhoff-type equation with logarithmic nonlinearity and strong damping. Mathematica Moravica, Tome 25 (2021) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2021_25_2_a10/