Existence of solution to a nonlocal biharmonic problem with dependence on gradient and Laplacian

DOI10.1515/JAA-2021-2073zbMath1505.35216OpenAlexW4210596827MaRDI QIDQ2101141

Yanyan Li

Publication date: 28 November 2022

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2021-2073

zbMATH Keywords

existencemountain pass theoremiterative methodsbiharmonic operatorgradient dependence

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for higher-order elliptic equations (35J35) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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• <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="p"> <mml:mi>p</mml:mi> </mml:math>-biharmonic equation with Hardy–Sobolev exponent and without the Ambrosetti–Rabinowitz condition
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