Advances in Differential Equations
- Adv. Differential Equations
- Volume 10, Number 9 (2005), 961-982.
Existence of solutions for strongly nonlinear elliptic differential inclusions with unilateral constraints
We study a nonlinear elliptic differential inclusion involving monotone and nonmonotone terms. Our formulation incorporates variational-hemivariational inequalities. The problem is strongly nonlinear in the sense that on the nonmonotone multivalued term we do not impose any growth condition and instead we use a generalized sign condition. Our approach is based on methods and techniques from multivalued analysis and from the theory of nonlinear operators of monotone type.
Adv. Differential Equations Volume 10, Number 9 (2005), 961-982.
First available in Project Euclid: 18 December 2012
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Motreanu, D.; Motreanu, V. V.; Papageorgiou, N. S. Existence of solutions for strongly nonlinear elliptic differential inclusions with unilateral constraints. Adv. Differential Equations 10 (2005), no. 9, 961--982. https://projecteuclid.org/euclid.ade/1355867813