Bifurcation problems for nonlinear elliptic variational inequalities
Marco Degiovanni (1989)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Marco Degiovanni (1989)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Le, Vy Khoi, Schmitt, Klaus
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Kučera, Milan
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Jamol I. Baltaev, Milan Kučera, Martin Väth (2012)
Applications of Mathematics
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We consider a simple reaction-diffusion system exhibiting Turing's diffusion driven instability if supplemented with classical homogeneous mixed boundary conditions. We consider the case when the Neumann boundary condition is replaced by a unilateral condition of Signorini type on a part of the boundary and show the existence and location of bifurcation of stationary spatially non-homogeneous solutions. The nonsymmetric problem is reformulated as a single variational inequality with...
Marco Degiovanni, Antonio Marino (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We consider bifurcation problems associated with some lower semicontinuous functionals that do not satisfy the usual regularity assumptions. For such functionals it is possible to define a generalized "Hessian form" and to show that certain eigenvalues of this one are bifurcation values. The results are applied to a bifurcation problem for elliptic variational inequalities.