Positive solutions of higher order quasilinear elliptic equations.
Montenegro, Marcelo (2002)
Abstract and Applied Analysis
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Montenegro, Marcelo (2002)
Abstract and Applied Analysis
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Lubomír Balanda, Eugen Viszus (1991)
Commentationes Mathematicae Universitatis Carolinae
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The aim of this paper is to show that Liouville type property is a sufficient and necessary condition for the regularity of weak solutions of nonlinear elliptic systems of the higher order.
Tómács, Tibor (2007)
Annales Mathematicae et Informaticae
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de Malafosse, Bruno (2003)
Rendiconti del Seminario Matematico
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Melton, Tanya G., Vatsala, A.S. (2006)
Boundary Value Problems [electronic only]
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Marian Slodička (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We consider a nonlinear second order elliptic boundary value problem (BVP) in a bounded domain with a nonlocal boundary condition. A Dirichlet BC containing an unknown additive constant, accompanied with a nonlocal (integral) Neumann side condition is prescribed at some boundary part . The rest of the boundary is equipped with Dirichlet or nonlinear Robin type BC. The solution is found via linearization. We design a robust and efficient approximation scheme. Error estimates for the...
G. Apreutesei, N. Apreutesei (2012)
Mathematica Bohemica
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The existence of anti-periodic solutions is studied for a second order difference inclusion associated with a maximal monotone operator in Hilbert spaces. It is the discrete analogue of a well-studied class of differential equations.