Classification of solutions to mixed order conformally invariant systems in \({\mathbb{R}}^2\)

DOI10.1007/s12220-022-00916-0zbMath1486.35426OpenAlexW4226281346MaRDI QIDQ2124315

Yuxia Guo, Shaolong Peng

Publication date: 8 April 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-022-00916-0

zbMATH Keywords

classification of solutionsmethod of moving spherescoupled nonlinearityconformally invariant systemmixed order

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Conformal structures on manifolds (53C18)

Related Items (8)

Classification of solutions for some mixed order elliptic system ⋮ Classification of solutions for mixed order conformally system with Hartree-type nonlinearity in ℝn ⋮ Maximum principles and qualitative properties of solutions for nonlocal double phase operator ⋮ Asymptotic behavior and classification of solutions to Hartree type equations with exponential nonlinearity ⋮ Classification of Solutions to Mixed Order Elliptic System with General Nonlinearity ⋮ Existence and Liouville theorems for coupled fractional elliptic system with Stein-Weiss type convolution parts ⋮ Maximum principles and Liouville results for uniformly elliptic nonlocal Bellman system ⋮ Classification of nonnegative solutions to Schrödinger equation with logarithmic nonlinearity

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