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• W3118462952 endingPage "3056" @default.
• W3118462952 startingPage "3035" @default.
• W3118462952 abstract "We consider the equation 1 $$begin{aligned} Delta _x u+u_{yy}+f(u)=0,quad x=(x_1,dots ,x_N)in {{mathbb {R}}}^N, yin {{mathbb {R}}}, end{aligned}$$ where $$Nge 2$$ and f is a sufficiently smooth function satisfying $$f(0)=0$$ , $$f'(0)<0$$ , and some natural additional conditions. We prove that equation (1) possesses uncountably many positive solutions (disregarding translations) which are radially symmetric in $$x'=(x_1,ldots ,x_{N-1})$$ and decaying as $$|x'|rightarrow infty $$ , periodic in $$x_N$$ , and quasiperiodic in y. Related theorems for more general equations are included in our analysis as well. Our method is based on center manifold and KAM-type results." @default.
• W3118462952 created "2021-01-18" @default.
• W3118462952 creator A5009669591 @default.
• W3118462952 creator A5044928606 @default.
• W3118462952 date "2021-01-11" @default.
• W3118462952 modified "2023-10-01" @default.
• W3118462952 title "The Existence of Partially Localized Periodic–Quasiperiodic Solutions and Related KAM-Type Results for Elliptic Equations on the Entire Space" @default.
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• W3118462952 doi "https://doi.org/10.1007/s10884-020-09925-5" @default.
• W3118462952 hasPublicationYear "2021" @default.
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