On a linear second order degenerate elliptic equation.
Devdariani, G. (2000)
Bulletin of TICMI
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Displaying similar documents to “Continuity of solutions of linear, degenerate elliptic equations”
On a linear second order degenerate elliptic equation.
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Albo Carlos Cavalheiro (2018)
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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.
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Cyril Imbert, Luis Silvestre (2016)
Journal of the European Mathematical Society
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We consider a function which is a viscosity solution of a uniformly elliptic equation only at those points where the gradient is large. We prove that the Hölder estimates and the Harnack inequality, as in the theory of Krylov and Safonov, apply to these functions.
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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.
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.
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Nestke, A., Zickermann, F.
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Flavia Giannetti
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B. Szafirski (1967)
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Acta Arithmetica
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Nontrivial solutions for a class of superquadratic elliptic equations
Chun Li, Zeng-Qi Ou, Chun-Lei Tang (2013)
Studia Mathematica
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Using a version of the Local Linking Theorem and the Fountain Theorem, we obtain some existence and multiplicity results for a class of superquadratic elliptic equations.