Existence of nontrivial solution for a nonlocal elliptic equation with nonlinear boundary condition.
Wang, Fanglei, An, Yukun (2009)
Boundary Value Problems [electronic only]
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Wang, Fanglei, An, Yukun (2009)
Boundary Value Problems [electronic only]
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Winkert, Patrick (2010)
Boundary Value Problems [electronic only]
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Anane, A., Tsouli, N. (2001)
International Journal of Mathematics and Mathematical Sciences
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Aibeche, Aissa (2004)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Boccia, Serena, Monsurrò, Sara, Transirico, Maria (2008)
Boundary Value Problems [electronic only]
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Cesare Davini, Roberto Paroni (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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Here we present an approximation method for a rather broad class of first order variational problems in spaces of piece-wise constant functions over triangulations of the base domain. The convergence of the method is based on an inequality involving norms obtained by Nečas and on the general framework of -convergence theory.
Carl, Siegfried, Winkert, Patrick (2009)
Journal of Inequalities and Applications [electronic only]
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Maria Alessandra Ragusa (1999)
Commentationes Mathematicae Universitatis Carolinae
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In this note the well-posedness of the Dirichlet problem (1.2) below is proved in the class for all and, as a consequence, the Hölder regularity of the solution . is an elliptic second order operator with discontinuous coefficients and the lower order terms belong to suitable Lebesgue spaces.