On a linear second order degenerate elliptic equation.
Devdariani, G. (2000)
Bulletin of TICMI
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Devdariani, G. (2000)
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K. I. Iordanidis (1971)
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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.
Nestke, A., Zickermann, F.
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B. Szafirski (1967)
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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.
Flavia Giannetti
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Giovanni Anello (2005)
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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.
N. Tzanakis (2002)
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Bochev, P., Gunzburger, M. (2004)
Zapiski Nauchnykh Seminarov POMI
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