Study On The Solutions For Two Classes Of Fractional Kirchhoff-type Equations With Logarithmic Nonlinearity

Posted on:2022-12-09

Degree:Master

Type:Thesis

Country:China

Candidate:P Shi

Full Text:PDF

GTID:2480306779478584

Subject:Mathematics

Abstract/Summary:

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In this paper,we mainly study the dynamic properties of the solutions for two classes of fractional p-Kirchhoff equations with logarithmic nonlinearity.For the fractional p-Kirchhoff equations with logarithmic nonlinearity,by the potential well theory and Nehari manifolds as well as combining concave method and Galerkin's approximation,we discuss the global existence and finite time blow-up of weak solutions under conditions of subcritical(E(u0)

Keywords/Search Tags:

p-Kirchhoff type equation, potential well, Galerkin's approximations, global existence, finite time blow-up

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