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- W2026094655 abstract "We study the following semilinear biharmonic equation , which satisfies<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M11><mml:mn>0</mml:mn><mml:mo><</mml:mo><mml:msub><mml:mrow><mml:munder><mml:mrow><mml:mi>u</mml:mi></mml:mrow><mml:mo>̲</mml:mo></mml:munder></mml:mrow><mml:mrow><mml:mi>λ</mml:mi></mml:mrow></mml:msub><mml:mo><</mml:mo><mml:mn>1</mml:mn></mml:math>. In the extremal case<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M12><mml:mi>λ</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mi>λ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant=normal>*</mml:mi></mml:mrow></mml:msup></mml:math>, we prove the existence of a weak solution which is the unique solution even in a very weak sense. Besides, several new difficulties arise and many problems still remain to be solved. We list those of particular interest in the final section." @default.
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- W2026094655 date "2014-01-01" @default.
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- W2026094655 title "Some Remarks on Biharmonic Elliptic Problems with a Singular Nonlinearity" @default.
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- W2026094655 doi "https://doi.org/10.1155/2014/896902" @default.
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