Dirichlet problem for weakly harmonic maps with rough data
نویسندگان
چکیده
Weakly harmonic maps from a domain Ω⊂Rd, d≥2 (the upper half-space R+d or bounded C1,α domain, α∈(0,1]) into smooth closed manifold are studied. Prescribing small Dirichlet data in either of the classes L∞(∂Ω) BMO(∂Ω), we establish solvability resulting boundary value problems by means nonvariational method. As by-product, solutions shown to be locally smooth, Cloc∞. Moreover, show that can chosen large underlying topologies if Ω is and perturbing strictly stable maps.
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 2022
ISSN: ['1532-4133', '0360-5302']
DOI: https://doi.org/10.1080/03605302.2022.2056705