Title : ( Blow up of solutions for a rx)-Laplacian Lam\\\\\\\'{e} equation with variable-exponent nonlinearities and arbitrary initial energy level )
Authors: Mohammad Shahrouzi ,
Full TextAbstract
In this paper, we consider the nonlinear r(x)−Laplacian Lam´e equation utt − ∆eu − divjrujr(x)−2ru + jutjm(x)−2ut = jujp(x)−2u in a smoothly bounded domain Ω ⊆ Rn; n ≥ 1, where r(:); m(:) and p(:) are continuous and measurable functions. Under suitable conditions on variable exponents and initial data, the blow-up of solutions is proved with negative initial energy as well as positive.
Keywords
, blow-up, variable-exponent nonlinearities, elasticity operator, arbitrary initial energy
@article{paperid:1104632,
author = {Shahrouzi, Mohammad},
title = {Blow up of solutions for a rx)-Laplacian Lam\\\\\\\'{e} equation with variable-exponent nonlinearities and arbitrary initial energy level},
journal = {International Journal of Nonlinear Analysis and Applications},
year = {2022},
volume = {13},
number = {1},
month = {January},
issn = {2008-6822},
pages = {441--450},
numpages = {9},
keywords = {blow-up; variable-exponent nonlinearities; elasticity operator; arbitrary initial energy},
}
%0 Journal Article
%T Blow up of solutions for a rx)-Laplacian Lam\\\\\\\'{e} equation with variable-exponent nonlinearities and arbitrary initial energy level
%A Shahrouzi, Mohammad
%J International Journal of Nonlinear Analysis and Applications
%@ 2008-6822
%D 2022
