On a model semilinear elliptic equation in the plane

DOI10.1007/s10958-016-3203-5zbMath1369.35015OpenAlexW2561788230MaRDI QIDQ521108

Vladimir Ya. Gutlyanskiĭ, Vladimir I. Ryazanov, O. V. Nesmelova

Publication date: 6 April 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/140893

zbMATH Keywords

semilinear elliptic equationsquasiconformal mappingsBeltrami equationBieberbach equation

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Quasiconformal mappings in the complex plane (30C62) Semilinear elliptic equations (35J61)

Related Items (9)

Toward the theory of semi-linear Beltrami equations ⋮ The Dirichlet problem for the Beltrami equations with sources ⋮ On divergence-type linear and quasi-linear equations in the complex plane ⋮ On the Hilbert problem for semi-linear Beltrami equations ⋮ On quasiconformal maps and semilinear equations in the plane ⋮ Nonlinear boundary-value problems for degenerate differential-algebraic systems ⋮ Quasiconformal mappings in the theory of semi-linear equations ⋮ To the theory of semilinear equations in the plane ⋮ On a quasilinear Poisson equation in the plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Beltrami equation. A geometric approach
• On the inequality \(\Delta u \geqq f (u)\)
• On planar mappings with prescribed principal strains
• Spirals and the universal Teichmüller space
• Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane
• Constant Principal Strain Mappings On 2-Manifolds
• Rotation estimates and spirals
• Nonlinear PDEs
• On solutions of δu=f(u)
• On functions of bounded mean oscillation
• Rotation and strain
• Uniqueness of non-linear elastic equilibrium for prescribed boundary displacements and sufficiently small strains

This page was built for publication: On a model semilinear elliptic equation in the plane