Classification of entire solutions of $(-\Delta )^N u + u^{-(4N-1)}= 0$ with exact linear growth at infinity in $\mathbf {R}^{2N-1}$
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Publication:4609842
DOI10.1090/proc/13960zbMath1391.35025arXiv1611.01882OpenAlexW3125826194MaRDI QIDQ4609842
Publication date: 26 March 2018
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.01882
Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Entire solutions to PDEs (35B08) Axially symmetric solutions to PDEs (35B07)
Related Items (7)
Classification of solutions to mixed order conformally invariant systems in \({\mathbb{R}}^2\) ⋮ On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents ⋮ Classification of Solutions to Conformally Invariant Systems with Mixed Order and Exponentially Increasing or Nonlocal Nonlinearity ⋮ Higher order conformally invariant equations in \( \mathbb{R}^3 \) with prescribed volume ⋮ Super poly-harmonic properties, Liouville theorems and classification of nonnegative solutions to equations involving higher-order fractional Laplacians ⋮ Non-radial solutions to a bi-harmonic equation with negative exponent ⋮ Liouville theorems for fractional and higher-order Hénon–Hardy systems on ℝn
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