Morse theory and the calculus of variations
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Anthony Tromba
Abstract
We prove for the first time that classical Morse theory applies to functionals of the form
where
Dedicated to Steve Smale on his 91st birthday
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Articles in the same Issue
- Frontmatter
- Harnack inequality for parabolic equations with coefficients depending on time
- Morse theory and the calculus of variations
- Relaxation of functionals with linear growth: Interactions of emerging measures and free discontinuities
- Fractional Poincaré and localized Hardy inequalities on metric spaces
- Higher order Ambrosio–Tortorelli scheme with non-negative spatially dependent parameters
- The notions of inertial balanced viscosity and inertial virtual viscosity solution for rate-independent systems
- Higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions
- On some variational problems involving capacity, torsional rigidity, perimeter and measure
- Sub-elliptic boundary value problems in flag domains
- On master test plans for the space of BV functions
- Regularity results for an optimal design problem with lower order terms
- On the behavior of the first eigenvalue of the p-Laplacian with Robin boundary conditions as p goes to 1
Articles in the same Issue
- Frontmatter
- Harnack inequality for parabolic equations with coefficients depending on time
- Morse theory and the calculus of variations
- Relaxation of functionals with linear growth: Interactions of emerging measures and free discontinuities
- Fractional Poincaré and localized Hardy inequalities on metric spaces
- Higher order Ambrosio–Tortorelli scheme with non-negative spatially dependent parameters
- The notions of inertial balanced viscosity and inertial virtual viscosity solution for rate-independent systems
- Higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions
- On some variational problems involving capacity, torsional rigidity, perimeter and measure
- Sub-elliptic boundary value problems in flag domains
- On master test plans for the space of BV functions
- Regularity results for an optimal design problem with lower order terms
- On the behavior of the first eigenvalue of the p-Laplacian with Robin boundary conditions as p goes to 1
