Electronic Journal of Differential Equations · 2021 · 12 citations · 21 references
Natural SciencesMathematicsDifferential EquationsDecay ProcessesIntegral EquationsPartial Differential EquationsAsymptotic TheoryBlow-up CriteriaBlow-up PhenomenaExponential Decay
In this article, we consider a nonlinear p(x)-Laplacian equation with time delay and variable exponents. Firstly, we prove the blow up of solutions. Then, by applying an integral inequality due to Komornik, we obtain the decay result. For more information see https://ejde.math.txstate.edu/Volumes/2021/84/abstr.html
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On spaces $L^{p(x)}$ and $W^{k, p(x)}$
Ondrej Kováčik, Jiří Rákosník · Czechoslovak Mathematical Journal · 1991 · 1.6K citations · Full text