On the Wiener criterion in higher dimensions
نویسندگان
چکیده
منابع مشابه
On the Wiener criterion in higher dimensions
where ⊂ Rn is a bounded domain and g is a continuous function on ∂ . In , Riemann [] proposed the famous Dirichlet principle, which states that there always exists a harmonic function continuous up to the boundary and coinciding with g on the boundary. However, Lebesgue [] constructed a bounded domain onwhich theDirichlet problem is not always solvable in . By Perron’s method [, ], ...
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On the Weinstein Conjecture in Higher Dimensions
The first break-through on this conjecture was obtained by C. Viterbo, [19], showing that compact energy surfaces in R2n of contact-type have periodic orbits. Extending Gromov’s theory of pseudoholomorphic curves, [3], to symplectized contact manifolds, H. Hofer, [4], related the Weinstein conjecture to the existence of certain pseudoholomorphic curves. He showed that in dimension three the Wei...
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2017
ISSN: 1687-2770
DOI: 10.1186/s13661-017-0907-5