Multiplicity result to some Kirchhoff-type biharmonic equation involving exponential growth conditions

zbMath1373.35122MaRDI QIDQ2412168

Sami Aouaoui

Publication date: 25 October 2017

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://bims.iranjournals.ir/article_910.html

zbMATH Keywords

biharmonic equationradial solutionKirchhoff-typeAdams inequalitynonradial solution

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Higher-order elliptic equations (35J30) Variational methods for higher-order elliptic equations (35J35)

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Adams' type inequality and application to a quasilinear nonhomogeneous equation with singular and vanishing radial potentials in \( \mathbb{R}^4 \)

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