عنوان
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MULTIPLE SOLUTIONS FOR A CLASS OF NONHOMOGENEOUS SEMILINEAR EQUATIONS WITH CRITICAL CONE SOBOLEV EXPONENT
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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Semilinear equations, degenerate differential operator, partial differential equation on manifold
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چکیده
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In this paper, we deal with the study of a class of semilinear and nonhomogeneous Schr¨odinger equations on a manifold with conical singularity. We provide a suitable constant by Sobolev embedding constant and the critical cone Sobolev exponent with respect to the nonhomogeneous term g(x) ∈ L n 2 2 (B). Our approach improves on and generalizes the previous results in [Indian J. Pure Appl. Math. 48 (2017), pp. 133–146] and [Ann. Global Anal. Geom. 39 (2011), pp. 27–43]
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پژوهشگران
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علی اصغر جعفری (نفر سوم)، محسن علیمحمدی (نفر دوم)، مرتضی کوزه گر (نفر اول)
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