The existence of nontrivial solution for biharmonic equation with sign‐changing potential

DOI10.1002/MMA.5127zbMath1404.35203OpenAlexW2810086718MaRDI QIDQ4557071

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Publication date: 29 November 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5127

zbMATH Keywords

biharmonic equationsign-changing potentialbipolar Rellich inequality

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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The existence of nontrivial solution for a class of sublinear biharmonic equations with steep potential well ⋮ Existence of solutions for biharmonic equations on conical singular manifolds ⋮ Fractional Kirchhoff-type equation with Hardy-Littlewood-Sobolev critical exponent ⋮ Existence of ground state solutions for fractional Kirchhoff Choquard problems with critical Trudinger-Moser nonlinearity

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