Multiplicity of nodal solutions to the Yamabe problem
نویسندگان
چکیده
منابع مشابه
Nondegeneracy of Nonradial Nodal Solutions to Yamabe Problem
We prove the existence of a sequence of nondegenerate, in the sense of Duyckaerts-Kenig-Merle [9], nodal nonradial solutions to the critical Yamabe problem −∆Q = |Q| 2 n−2Q, Q ∈ D1,2(Rn). This is the first example in the literature of nondegeneracy for nodal nonradial solutions of nonlinear elliptic equations and it is also the only nontrivial example for which the result of Duyckaerts-Kenig-Me...
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2017
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-017-1237-2