On a seawater intrusion problem.
Tber, Moulay Hicham (2007)
APPS. Applied Sciences
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Tber, Moulay Hicham (2007)
APPS. Applied Sciences
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Jan Bęczek (1988)
Annales Polonici Mathematici
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W. Hansen, J. Bliedner (1984)
Journal für die reine und angewandte Mathematik
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Bjorn E. J. Dahlberg, Carlos E. Kenig (1988)
Revista Matemática Iberoamericana
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The purpose of this work is to study the class of non-negative continuous weak solutions of the non-linear evolution equation ∂u/∂t = ∆φ(u), x ∈ Rn, 0 < t < T ≤ +∞.
Clark, H.R., Ferrel, J.L., Clark, M.R. (2003)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Gabriele Bonanno, Giovanni Molica Bisci, Vicenţiu Rădulescu (2012)
ESAIM: Control, Optimisation and Calculus of Variations
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Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear term, the existence of a sequence of weak solutions for an eigenvalue Dirichlet problem on the Sierpiński gasket is proved. Our approach is based on variational methods and on some analytic and geometrical properties of the Sierpiński fractal. The abstract results are illustrated by explicit examples.
D. G. Aronson (1968)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Zuzana Bukovská (1990)
Mathematica Slovaca
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D. L. Grant, I. L. Reilly (1990)
Matematički Vesnik
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Tadeusz Śliwa (1981)
Colloquium Mathematicae
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Tadeusz Śliwa (1980)
Colloquium Mathematicae
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Adam Kubica (2005)
Applicationes Mathematicae
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We examine the regularity of weak and very weak solutions of the Poisson equation on polygonal domains with data in L². We consider mixed Dirichlet, Neumann and Robin boundary conditions. We also describe the singular part of weak and very weak solutions.