On the Green's function for second order elliptic differential equations
B. Szafirski (1967)
Colloquium Mathematicae
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B. Szafirski (1967)
Colloquium Mathematicae
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Jan Bochenek (1965)
Annales Polonici Mathematici
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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.
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.
Jackson, Lloyd (1952)
Portugaliae mathematica
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K. I. Iordanidis (1971)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
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Devdariani, G. (2000)
Bulletin of TICMI
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Giuliano Bratti (1977)
Rendiconti del Seminario Matematico della Università di Padova
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Nazarov, A.I. (2004)
Journal of Mathematical Sciences (New York)
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Joseph H. Silverman (2012)
Acta Arithmetica
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L. Nirenberg (1959)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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