0000000000315667

AUTHOR

P. Lindqvist

showing 3 related works from this author

Regularity and polar sets for supersolutions of certain degenerate elliptic equations

1988

On considere l'equation ⊇•⊇ h F(x,⊇u(x))=0. Cette equation est non lineaire et degeneree avec des coefficients mesurables. On etudie la regularite des supersolutions

Partial differential equationGeneral MathematicsWeak solution010102 general mathematicsMathematical analysisDegenerate energy levels01 natural sciences010101 applied mathematicsElliptic curveElliptic partial differential equationPolar0101 mathematicsAnalysisMathematicsJournal d'Analyse Mathématique
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Phragmén-Lindelöf's and Lindelöf's theorems

1985

Phragmén–Lindelöf principlePure mathematicsQuasiconformal mappingGeneral MathematicsHarmonic measureMathematicsArkiv för Matematik
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Two theorems of N. Wiener for solutions of quasilinear elliptic equations

1985

Relatively little is known about boundary behavior of solutions of quasilinear elliptic partial differential equations as compared to that of harmonic functions. In this paper two results, which in the harmonic case are due to N. Wiener, are generalized to a nonlinear situation. Suppose that G is a bounded domain in R n. We consider functions u: G--~R which are free extremals of the variational integral

General Mathematics010102 general mathematicsMathematical analysisHarmonic (mathematics)01 natural sciencesParabolic partial differential equationPoincaré–Steklov operator010101 applied mathematicsNonlinear systemElliptic partial differential equationHarmonic functionLinear differential equationFree boundary problem0101 mathematicsMathematics
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