Preliminaries.- Functionals Bounded Below.- Even Functionals.- Linking and Homoclinic Type Solutions.- Double Linking Theorems.- Superlinear Problems.- Systems with Hamiltonian Potentials.- Linking and Elliptic Systems.- Sign-Changing Solutions.- Cohomology Groups.
Preface.- 1. Preliminaries.- 2. Functionals Bounded Below.- 3. Even Functionals.- 4. Weak Linking and Homoclinic Orbits.- 5. Double Linking Theorems.- 6. Superlinear Problems.- 7. Systems with Hamiltonian Potentials.- 8. Linking and Elliptic Systems.- 9. Sign-changing Solutions.- 10. Cohomology Groups.- Bibliography.- Index.
This book presents some of the latest research in critical point theory, describing methods and presenting the newest applications. Coverage includes extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. Applications described include Hamiltonian systems, Schrödinger equations and systems, jumping nonlinearities, elliptic equations and systems, superlinear problems and beam equations.
Presents new methods and applications