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    EXISTENCE OF GLOBAL WEAK SOLUTIONS FOR A p-LAPLACIAN INEQUALITY WITH STRONG DISSIPATION IN NONCYLINDRICAL DOMAINS
    (Texas State Univ, 2022) Ferreira, Jorge; Piskin, Erhan; Shahrouzi, Mohammad; Cordeiro, Sebastiao; Raposo, Carlos Alberto
    In this work, we obtain global solutions for nonlinear inequalities of p -Laplacian type in noncylindrical domains, for the unilateral problem with strong dissipation u '' - delta(pu) - delta u ' -f >= 0 in Q(0), where delta(p) is the nonlinear p -Laplacian operator with 2 <= p < infinity, and Q(0) is the noncylindrical domain. Our proof is based on a penalty argument by J. L. Lions and Faedo-Galerkin approximations.