Exhaustive existence and non-existence results for some prototype polyharmonic equations in the whole space-Reference-Cited by-同舟云学术

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Exhaustive existence and non-existence results for some prototype polyharmonic equations in the whole space

Published:2020-12 Issue:12 Volume:269 Page:11621-11645
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Ngô Quốc Anh^ORCID,Nguyen Van Hoang,Phan Quoc Hung,Ye Dong

Funder

Vietnam's National Foundation for Science and Technology Development

Tosio Kato Fellowship

Simons Foundation

Science and Technology Commission of Shanghai Municipality

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference35 articles.

1. Nonexistence of positive supersolutions of elliptic equations via the maximum principle;Armstrong;Commun. Partial Differ. Equ.,2011

2. Semilinear equations in RN without condition at infinity;Brezis;Appl. Math. Optim.,1984

3. Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth;Caffarelli;Commun. Pure Appl. Math.,1989

4. Representation formulae for solutions to some classes of higher order systems and related Liouville theorems;Caristi;Milan J. Math.,2008

5. Classification of solutions of some nonlinear elliptic equations;Chen;Duke Math. J.,1991

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1. Non-existence results for fourth order Hardy–Hénon equations in dimensions 2 and 3;Journal of Differential Equations;2024-07

2. Nontrivial Solutions for the Polyharmonic Problem: Existence, Multiplicity and Uniqueness;Frontiers of Mathematics;2023-03

3. Universal estimates and Liouville theorems for superlinear problems without scale invariance;Discrete and Continuous Dynamical Systems;2023

4. Exhaustive existence and non-existence results for Hardy–Hénon equations in $${{\,\mathrm{{\textbf{R}}}\,}}^n$$;Partial Differential Equations and Applications;2022-11-22

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