Infinitely many non-radial solutions for fractional Nirenberg problem

DOI10.1007/s00526-017-1141-9zbMath1371.35328OpenAlexW2600833832MaRDI QIDQ526958

Qiang Ren, Chun-gen Liu

Publication date: 15 May 2017

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-017-1141-9

zbMATH Keywords

prescribed curvaturefractional Nirenberg problemnon-radial solutions

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Critical exponents in context of PDEs (35B33) Fractional partial differential equations (35R11) Axially symmetric solutions to PDEs (35B07)

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Cites Work

• The scalar-curvature problem on the standard three-dimensional sphere
• Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics
• Global bifurcation results for a semilinear elliptic equation on all of \(\mathbb{R}^ N\)
• On the scalar curvature equation \(-\Delta u = (1+\varepsilon K)u ^{(N+2)/(N-2)}\) in \({\mathbb R}^N\)
• Sharp Inequalities, the Functional Determinant, and the Complementary Series