UNILATERAL PROBLEM FOR A NONLINEAR WAVE EQUATION WITH <i>P</i>-LAPLACIAN OPERATOR

Carlos Raposo; Ducival Pereira; Celsa Maranhão

doi:10.11948/20200147

2021 Volume 11 Issue 1

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Carlos Raposo, Ducival Pereira, Celsa Maranhão. UNILATERAL PROBLEM FOR A NONLINEAR WAVE EQUATION WITH P-LAPLACIAN OPERATOR[J]. Journal of Applied Analysis & Computation, 2021, 11(1): 546-555. doi: 10.11948/20200147

Citation:

Carlos Raposo, Ducival Pereira, Celsa Maranhão. UNILATERAL PROBLEM FOR A NONLINEAR WAVE EQUATION WITH P-LAPLACIAN OPERATOR[J]. Journal of Applied Analysis & Computation, 2021, 11(1): 546-555. doi: 10.11948/20200147

UNILATERAL PROBLEM FOR A NONLINEAR WAVE EQUATION WITH P-LAPLACIAN OPERATOR

1.
Mathematics Department, Federal University of São João del-Rei, 36307-352, Brazil
2.
Mathematics Department, State University of Pará, 66113-200, Brazil
3.
Mathematics Department, Federal University of Pará, 66075-110, Brazil

Corresponding author: Email address:raposo@ufsj.edu.br (C. Raposo)

Abstract

Abstract

This work deals with the unilateral problem for a nonlinear wave equation with p-Laplacian operator and source term. Using an appropriate penalization, we obtain a variational inequality for the equation perturbed and then the existence of solutions is analyzed.
- Unilateral problem /
- p-Laplacian operator /
- global solution
MSC: 35L85, 35A01, 35L80

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References

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