Abstract
We consider, in this paper, the following nonlinear equation with variable exponents: urn:x-wiley:mma:media:mma4505:mma4505-math-0001 where a,b>0 are constants and the exponents of nonlinearity m,p, and r are given functions. We prove a finite‐time blow‐up result for the solutions with negative initial energy and for certain solutions with positive energy.
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