Entire solutions of certain fourth order elliptic problems and related inequalities

DOI10.1515/anona-2021-0217zbMath1485.35016OpenAlexW4213234879MaRDI QIDQ2117401

Enzo Mitidieri, Lorenzo D'Ambrosio

Publication date: 21 March 2022

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2021-0217

zbMATH Keywords

biharmonic operatorHardy-Rellich inequalitiesLiouville theorems

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Inequalities involving derivatives and differential and integral operators (26D10) Semilinear elliptic equations (35J61) Entire solutions to PDEs (35B08) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Higher-order elliptic systems (35J48)

Related Items (3)

Liouville-type results for spherical symmetric linear differential operators with constant coefficients ⋮ Blow up oscillating solutions to some nonlinear fourth order differential equations ⋮ Oscillatory and spectral properties of fourth-order differential operator and weighted differential inequality with boundary conditions

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