On critical nonlinear boundary problems for p-harmonic functions on Riemannian manifolds

DOI10.1080/17476933.2021.1931151OpenAlexW4205613226WikidataQ115294978 ScholiaQ115294978MaRDI QIDQ5102319

Zheng Binbin, Tang Zhongwei

Publication date: 6 September 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2021.1931151

zbMATH Keywords

compact Riemannian manifolds\(p\)-Laplacian operatorSobolev trace inequality

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Cites Work

• Best constant in Sobolev trace inequalities on the half-space
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Conformal metrics with prescribed scalar curvature
• Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary
• Best constants in Sobolev trace inequalities
• On the nonlinear Neumann problem involving the critical Sobolev exponent on the boundary.
• Existence and multiplicity results for nonlinear critical Neumann problem on compact Riemannian manifolds
• On some nonlinear equations involving the \(p\)-Laplacian with critical Sobolev growth
• \(p\)-harmonic functions in \(\mathbb{R}^N_+\) with nonlinear Neumann boundary conditions and measure data
• Quasilinear elliptic equations involving critical Sobolev exponents
• Boundary regularity for solutions of degenerate elliptic equations
• Generalized scalar curvature type equations on compact Riemannian manifolds
• Existence results for the \(p\)-Laplacian with nonlinear boundary conditions
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