Geodesic
Blow-up of solutions for the Kirchhoff equation of $q$-Laplacian type with nonlinear dissipation
Abbes Benaissa 1   ; Salim A. Messaoudi 2
1 Department of Mathematics Djillali Liabes University P.O. Box 89, Sidi Bel Abbes 22000, Algeria
2 Mathematical Sciences Department KFUPM Dhahran 31261, Saudi Arabia
Colloquium Mathematicum, Tome 94 (2002) no. 1, pp. 103-109 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We establish the blow-up of solutions to the Kirchhoff equation of $q$-Laplacian type with a nonlinear dissipative term $(|u_{t}|^{l-2}u_{t})_{t}-M(\| A^{1/2}u\| _{2}^{2})A u + |u_{t}|^{\beta } u_{t}=|u|^{p} u$, $x\in {\mit \Omega }$, $t> 0.$
DOI : 10.4064/cm94-1-8
Keywords: establish blow up solutions kirchhoff equation q laplacian type nonlinear dissipative term l m beta mit omega

Abbes Benaissa  1   ; Salim A. Messaoudi  2

1 Department of Mathematics Djillali Liabes University P.O. Box 89, Sidi Bel Abbes 22000, Algeria
2 Mathematical Sciences Department KFUPM Dhahran 31261, Saudi Arabia 
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     title = {Blow-up of solutions for the {Kirchhoff} equation
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Abbes Benaissa; Salim A. Messaoudi. Blow-up of solutions for the Kirchhoff equation
 of $q$-Laplacian type with nonlinear dissipation. Colloquium Mathematicum, Tome 94 (2002) no. 1, pp. 103-109. doi: 10.4064/cm94-1-8

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