Some properties of solutions of elliptic partial differential equations of the second order
Jan Bochenek (1965)
Annales Polonici Mathematici
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Displaying similar documents to “On traces of solutions of a semilinear partial differential equation of elliptic type”
Some properties of solutions of elliptic partial differential equations of the second order
An approximation theorem for solutions of degenerate semilinear elliptic equations
Albo Carlos Cavalheiro (2017)
Communications in Mathematics
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The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.
On the Green's function for second order elliptic differential equations
B. Szafirski (1967)
Colloquium Mathematicae
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On a linear second order degenerate elliptic equation.
Devdariani, G. (2000)
Bulletin of TICMI
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The degenerate Venttsel' problem for elliptic equations.
Nazarov, A.I. (2004)
Journal of Mathematical Sciences (New York)
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The Robbins problem for elliptic equations in space
K. I. Iordanidis (1971)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
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On the solvability of semilinear elliptic equation via an associated eigenvaule problem.
Gabriella Tarantello, Stanley Alama (1996)
Mathematische Zeitschrift
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Continuity of solutions of linear, degenerate elliptic equations
Jani Onninen, Xiao Zhong (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We consider the simplest form of a second order, linear, degenerate, elliptic equation with divergence structure in the plane. Under an integrability condition on the degenerate function, we prove that the solutions are continuous.
Multilevel correction adaptive finite element method for semilinear elliptic equation
Qun Lin, Hehu Xie, Fei Xu (2015)
Applications of Mathematics
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A type of adaptive finite element method is presented for semilinear elliptic problems based on multilevel correction scheme. The main idea of the method is to transform the semilinear elliptic equation into a sequence of linearized boundary value problems on the adaptive partitions and some semilinear elliptic problems on very low dimensional finite element spaces. Hence, solving the semilinear elliptic problem can reach almost the same efficiency as the adaptive method for the associated...
Local properties of solutions of elliptic partial differential equations
A. Calderón, A. Zygmund (1961)
Studia Mathematica
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On existence of a unique generalized solution to systems of elliptic PDEs at resonance
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.
On some elliptic boundary-value problems with discontinuous nonlinearities
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.