Existence of Solutions for a Variational Unilateral System
Clark, Marcondes R.
Lima, Osmundo A.
Southwest Texas State University, Department of Mathematics
In this work the authors study the existence of weak solutions of the nonlinear unilateral mixed problem associated to the inequalities utt - M(|∇u|2) ∆u + θ ≥ f, θt - ∆θ + ut ≥ g, where f, g, M are given real-valued functions with M positive.
Weak solutions, Variational unilateral nonlinear problem, Galerkin method, Penalization method
Clark, M. R., & Lima, O. A. (2002). Existence of solutions for a variational unilateral system. <i>Electronic Journal of Differential Equations, 2002</i>(22), pp. 1-18.