Removable singularities for quasilinear degenerate elliptic equations with absorption term Dedicated to Professor Kozo Yabuta on the occasion of his sixtieth birthday

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概要

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• Let N≥q 1 and p>1. Let F be a compact set and Ω be a bounded open set of \bm{R}<SUP>N</SUP> satisfying F⊂Ω⊂ \bm{R}<SUP>N</SUP>. We define a generalized p-harmonic operator L<SUB>p</SUB> which is elliptic in Ω\backslash F and degenerated on F. We shall study the genuinely degenerate elliptic equations with absorption term. In connection with these equations we shall treat two topics in the present paper. Namely, the one is concerned with removable singularities of solutions and the other is the unique existence property of bounded solutions for the Dirichlet boundary problem.

• 社団法人 日本数学会の論文

著者

• Horiuchi Toshio

  Department Of Instrumentation Engineering Faculty Of Science And Techonology Keio University

• Horiuchi Toshio

  Department Of Mathematiocal Science Ibaraki University

関連論文

• Effects of Corona Discharge on the Formation of Electrically-Extracted Liquid Jets
• The Schauder approach to degenerate elliptic equations with homogeneous Neumann boundary condition II
• Removable singularities for quasilinear degenerate elliptic equations with absorption term Dedicated to Professor Kozo Yabuta on the occasion of his sixtieth birthday
• Notes on removable singularities for a certain class of semilinear degenerate elliptic equations
• Notes on the mean value property for certain degenerate elliptic operators
• Sharp remainder terms of Hardy-Sobolev inequalities

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