Stability for semilinear elliptic variational inequalities depending on the gradient
| Autor: | Raffaella Servadei, Michele Matzeu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2011 |
| Předmět: |
Work (thermodynamics)
Semilinear elliptic variational inequalities Gradient-dependent nonlinearity Stability result Variational methods Critical point theory Penalization method Iterative techniques Iterative method Applied Mathematics Mathematical analysis Stability (probability) Critical point (mathematics) Nonlinear system Variational inequality Convergence (routing) Applied mathematics Analysis Numerical stability Mathematics |
| Popis: | In this work we give a result concerning the continuous dependence on the data for weak solutions of a class of semilinear elliptic variational inequalities ( P n ) with a nonlinear term depending on the gradient of the solution. This paper can be seen as the second part of the work Matzeu and Servadei (2010) [9] , in the sense that here we give a stability result for the C 1 , α -weak solutions of problem ( P n ) found in Matzeu and Servadei (2010) [9] through variational techniques. To be precise, we show that the solutions of ( P n ) , found with the arguments of Matzeu and Servadei (2010) [9] , converge to a solution of the limiting problem ( P ) , under suitable convergence assumptions on the data. |
| Databáze: | OpenAIRE |
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