A Variant of the Mountain Pass Theorem and Variational Gluing
Copyright policy )A Variant of the Mountain Pass Theorem and Variational Gluing
AbstractThis paper surveys some recent work on a variant of the Mountain Pass Theorem that is applicable to some classes of differential equations involving unbounded spatial or temporal domains. In particular its application to a system of semilinear elliptic PDEs on $$R^n$$ R n and to a family of Hamiltonian systems involving double well potentials will also be discussed.
- University of Wisconsin–Madison United States
- University of Wisconsin–Oshkosh United States
- National Institute for Nuclear Physics Italy
- University of Wisconsin System United States
- Marche Polytechnic University Italy
nondegeneracy condition, homoclinic solutions, multitransition solutions, General Mathematics, variational methods, double well potential, Boundary value problems for second-order elliptic systems, Variational methods for elliptic systems, Homoclinic and heteroclinic solutions to ordinary differential equations, mountain pass theorem, heteroclinic solutions, Second-order elliptic systems, variational gluing, Hamiltonian systems
nondegeneracy condition, homoclinic solutions, multitransition solutions, General Mathematics, variational methods, double well potential, Boundary value problems for second-order elliptic systems, Variational methods for elliptic systems, Homoclinic and heteroclinic solutions to ordinary differential equations, mountain pass theorem, heteroclinic solutions, Second-order elliptic systems, variational gluing, Hamiltonian systems
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