Morse theory for indefinite nonlinear elliptic problems
Kung-Ching Chang, Mei-Yue Jiang (2009)
Annales de l'I.H.P. Analyse non linéaire
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Kung-Ching Chang, Mei-Yue Jiang (2009)
Annales de l'I.H.P. Analyse non linéaire
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Ahammou, Abdelaziz (2002)
International Journal of Mathematics and Mathematical Sciences
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Schechter, Martin, Tintarev, Kyril (2006)
International Journal of Mathematics and Mathematical Sciences
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Marco Degiovanni, Sergio Lancelotti (2007)
Annales de l'I.H.P. Analyse non linéaire
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Denis Bonheure, Miguel Ramos (2009)
Annales de l'I.H.P. Analyse non linéaire
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Schechter, Martin (2005)
Boundary Value Problems [electronic only]
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Pavel Krejčí, Matthias Liero (2009)
Applications of Mathematics
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The Kurzweil integral technique is applied to a class of rate independent processes with convex energy and discontinuous inputs. We prove existence, uniqueness, and continuous data dependence of solutions in spaces. It is shown that in the context of elastoplasticity, the Kurzweil solutions coincide with natural limits of viscous regularizations when the viscosity coefficient tends to zero. The discontinuities produce an additional positive dissipation term, which is not homogeneous...