عنوان
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Conic type Caffarelli–Kohn–Nirenberg inequality on manifold with conical singularity
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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Caffarelli–Kohn–Nirenberg-type inequality Nonlinear elliptic equations Partial differential equations on manifolds
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چکیده
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In this paper, we consider a manifold with conical singularity and introduce weighted cone Sobolev spaces. We prove a conic type Caffarelli–Kohn–Nirenberg inequality and then apply this inequality to obtain a existence result of a nonlinear elliptic equation on weighted cone Sobolev space.
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پژوهشگران
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محسن علیمحمدی (نفر دوم)، علی اصغر جعفری (نفر اول)
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