Boundary Regulartiy for certain quasilinear elliptic systems of divergence structure.
Friedmar Schulz (1992)
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Friedmar Schulz (1992)
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Yaotian Shen, Shusen Yan (1993)
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Martin Schechter (1995)
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Michael Meier (1983)
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Mariano Giaquinta (1978)
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Rüdiger Landes (1989)
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R. Mennicken, M. Faierman, M. Möller (1993)
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Chi-ping Lau (1987)
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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.
Yan Yan Li, Sagun Chanillo (1992)
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Reinhard Mennicken, Mel Faierman (1991)
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Peter Hess, Bernhard Ruf (1978/79)
Mathematische Zeitschrift
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Kjell-Ove Widman (1971)
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Michael Grüter, Kjell-O. Widman (1982)
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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.
Michael Struwe (1981)
Manuscripta mathematica
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Rüdiger Landes (1979)
Manuscripta mathematica
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