Nonlinear Steklov problems on the unit circle

DOI10.1016/0022-247X(72)90082-0zbMath0242.35034MaRDI QIDQ2554105

Jim M. Cushing

Publication date: 1972

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05) Spectral theory and eigenvalue problems for partial differential equations (35P99) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (7)

Eigenvalues of holomorphic functions for the third boundary condition ⋮ A global result applicable to non-linear Steklov problems ⋮ Global bifurcation from infinity in some nonlinear Sturm-Liouville problems ⋮ Steklov-Neumann eigenproblems and nonlinear elliptic equations with nonlinear boundary conditions ⋮ Nonlinear Steklov problems on the unit circle. II (and a Hydrodynamical application) ⋮ Nonlinear Steklov problems on nonsymmetric domains ⋮ Method of lower and upper solutions for elliptic systems with nonlinear boundary condition and its applications

Cites Work

• Nonlinear harmonic boundary value problems. I
• Eigenfunction branches of nonlinear operators, and their bifurcations
• Nonlinear harmonic boundary value problems. II (Modified Hammerstein integral equations)
• A uniqueness criterion for harmonic functions under nonlinear boundary conditions
• Some existence theorems for non-linear eigenvalue problems associated with elliptic equations
• On the Local Uniqueness Problem for Periodic Surface Waves of Permanent Type in a Channel of Infinite Depth
• Nonlinear sturm‐lionville problems for second order ordinary differential equations
• A Note on Harmonic Functions and a Hydrodynamical Application
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