عنوان
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Existence of Solutions for p(x)-Laplacian Elliptic BVPs on a Variable Sobolev Space Via Fixed Point Theorems
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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$p(x)$-Laplacian, variable exponent Sobolev space, Schaefer fixed point, Schauder fixed point
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چکیده
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In this paper, we prove some existence theorems for elliptic boundary value problems within the $p(x)$-Laplacian on a variable Sobolev space. For this purpose, the main problem is transformed into a fixed point problem and then fixed point arguments such as Schaefer's and Schauder's theorems are used. An interesting example is presented to examine the validity of the theoretical findings.
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پژوهشگران
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منیره نصرتی (نفر چهارم)، حجت افشاری (نفر سوم)، جهاد الضبوت (نفر دوم)، سعود ایادی (نفر اول)
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