A truncation technique combined with iterative schemes establishes infinitely many solutions for non-symmetric semilinear and nonvariational elliptic PDEs as well as periodic Hamiltonian systems on the real line.
Rabinowitz,Homoclinic orbits for a class of Hamiltonian systems, Proc
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A Unified Truncation Method for Infinitely Many Solutions Without Symmetry
A truncation technique combined with iterative schemes establishes infinitely many solutions for non-symmetric semilinear and nonvariational elliptic PDEs as well as periodic Hamiltonian systems on the real line.