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Global Solution Curves for Semilinear Elliptic Equations
We do not plan to review this book.
- Curves of Solutions on General Domains:
- Continuation of Solutions
- Symmetric Domains in R2
- Turning Points and the Morse Index
- Convex Domains in R2
- Pohozaev's Identity and Non-Existence of Solutions for Elliptic Systems
- Problems at Resonance
- Curves of Solutions on Balls:
- Preliminary Results
- Positivity of Solution to the Linearized Problem
- Uniqueness of the Solution Curve
- Direction of a Turn and Exact Multiplicity
- On a Class of Concave-Convex Equations
- Monotone Separation of Graphs
- The Case of Polynomial ƒ(u) in Two Dimensions
- The Case When ƒ(0) < 0
- Symmetry Breaking
- Special Equations
- Oscillations of the Solution Curve
- Uniqueness for Non-Autonomous Problems
- Exact Multiplicity for Non-Autonomous Problems
- Numerical Computation of Solutions
- Radial Solutions of Neumann Problem
- Global Solution Curves for a Class of Elliptic Systems
- The Case of a “Thin” Annulus
- A Class of p-Laplace Problems
- Two Point Boundary Value Problems:
- Positive Solutions of Autonomous Problems
- Direction of the Turn
- Stability and Instability of Solutions
- S-Shaped Solution Curves
- Computing the Location and the Direction of Bifurcation
- A Class of Symmetric Nonlinearities
- General Nonlinearities
- Infinitely Many Curves with Pitchfork Bifurcation
- An Oscillatory Bifurcation from Zero: A Model Example
- Exact Multiplicity for Hamiltonian Systems
- Clamped Elastic Beam Equation
- Steady States of Convective Equations
- Quasilinear Boundary Value Problems
- The Time Map for Quasilinear Equations
- Uniqueness for a p-Laplace Case
Dummy View - NOT TO BE DELETED