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- W1732528558 abstract "For <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=p greater-than-or-slanted-equals StartFraction 12 Over 11 EndFraction> <mml:semantics> <mml:mrow> <mml:mi>p</mml:mi> <mml:mo>⩾<!-- ⩾ --></mml:mo> <mml:mfrac> <mml:mn>12</mml:mn> <mml:mn>11</mml:mn> </mml:mfrac> </mml:mrow> <mml:annotation encoding=application/x-tex>pgeqslant frac {12}{11}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, the eigenfunctions of the non-linear eigenvalue problem for the <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=p> <mml:semantics> <mml:mi>p</mml:mi> <mml:annotation encoding=application/x-tex>p</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-Laplacian on the interval <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=left-parenthesis 0 comma 1 right-parenthesis> <mml:semantics> <mml:mrow> <mml:mo stretchy=false>(</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>(0,1)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> are shown to form a Riesz basis of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L 2 left-parenthesis 0 comma 1 right-parenthesis> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:mo stretchy=false>(</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>L_2(0,1)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and a Schauder basis of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L Subscript q Baseline left-parenthesis 0 comma 1 right-parenthesis> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi>L</mml:mi> <mml:mi>q</mml:mi> </mml:msub> <mml:mo stretchy=false>(</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>L_q(0,1)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> whenever <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=1 greater-than q greater-than normal infinity> <mml:semantics> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>></mml:mo> <mml:mi>q</mml:mi> <mml:mo>></mml:mo> <mml:mi mathvariant=normal>∞<!-- ∞ --></mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>1>q>infty</mml:annotation> </mml:semantics> </mml:math> </inline-formula>." @default.
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- W1732528558 date "2006-06-27" @default.
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- W1732528558 title "Basis properties of eigenfunctions of the 𝑝-Laplacian" @default.
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