Nonexistence of Solutions for a Logarithmic m-Laplacian Type Equation with Delay Term

Year 2021, Volume: 9 Issue: 2, 238 - 244, 15.10.2021

Hazal Yüksekkaya , Erhan Pişkin

Abstract

In this work, we consider a logarithmic m-Laplacian type equation with delay term with initial and boundary conditions. Under suitable conditions on the initial data, we study the nonexistence of solutions in a finite time with negative initial energy $E\left( 0\right) <0$ in a bounded domain.

Keywords

Decay term, logarithmic source term, m-Laplacian equation, nonexistence of solutions

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