The degenerate Venttsel' problem for elliptic equations.
Nazarov, A.I. (2004)
Journal of Mathematical Sciences (New York)
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Nazarov, A.I. (2004)
Journal of Mathematical Sciences (New York)
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Devdariani, G. (2000)
Bulletin of TICMI
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Giovanni Anello (2005)
Annales Polonici Mathematici
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We establish two existence results for elliptic boundary-value problems with discontinuous nonlinearities. One of them concerns implicit elliptic equations of the form ψ(-Δu) = f(x,u). We emphasize that our assumptions permit the nonlinear term f to be discontinuous with respect to the second variable at each point.
K. I. Iordanidis (1971)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
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Albo Carlos Cavalheiro (2018)
Commentationes Mathematicae Universitatis Carolinae
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The main result establishes that a weak solution of degenerate quasilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate quasilinear elliptic equations.
Grzegorz Łysik, Paweł M. Wójcicki (2014)
Annales Polonici Mathematici
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We give a characterization of constant coefficients elliptic operators in terms of estimates of their iterations on smooth functions.
Joseph H. Silverman (2012)
Acta Arithmetica
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Annalisa Menegus, Giuseppe Olivi (1976)
Rendiconti del Seminario Matematico della Università di Padova
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B. Szafirski (1967)
Colloquium Mathematicae
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Friedmar Schulz (1992)
Manuscripta mathematica
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Tiantian Qiao, Weiguo Li, Kai Liu, Boying Wu (2014)
Annales Polonici Mathematici
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The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.
Bonfiglioli, Andrea, Lanconelli, Ermanno, Uguzzoni, Francesco (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Mikhail Borsuk, Krzysztof Żyjewski (2011)
Applicationes Mathematicae
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We investigate the behavior of weak solutions to the nonlocal Robin problem for linear elliptic divergence second order equations in a neighborhood of a boundary corner point. We find an exponent of the solution's decreasing rate under minimal assumptions on the problem coefficients.