Boundary Regulartiy for certain quasilinear elliptic systems of divergence structure.
Friedmar Schulz (1992)
Manuscripta mathematica
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Friedmar Schulz (1992)
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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.
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Peter Hess, Bernhard Ruf (1978/79)
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Kjell-Ove Widman (1971)
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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.
Michael Struwe (1981)
Manuscripta mathematica
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Rüdiger Landes (1979)
Manuscripta mathematica
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