Morse complex, even functionals and asymptotically linear differential equations with resonance at infinity
نویسندگان
چکیده
منابع مشابه
Morse Complex, Even Functionals and Asymptotically Linear Differential Equations with Resonance at Infinity
I. Motivation. Let H be a Hilbert space and f : H → R a C-functional. To study critical points of f in the framework of the classical approaches (Morse Theory [39], Ljusternik–Schnirelman theory [40], etc.) one needs to assume, in particular, that f satisfies the Palais–Smale condition (in short, PS-condition): any sequence {xn} ⊂ H with {f(xn)} bounded and ∇f(xn) → 0 contains a convergent subs...
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ژورنال
عنوان ژورنال: Topological Methods in Nonlinear Analysis
سال: 1998
ISSN: 1230-3429
DOI: 10.12775/tmna.1998.045