کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5775038 | 1413573 | 2017 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Compactness and existence results for the p-Laplace equation
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Compactness and existence results for the p-Laplace equation Compactness and existence results for the p-Laplace equation](/preview/png/5775038.png)
چکیده انگلیسی
Given 1
0, r>0, we define the weighted spacesW={uâD1,p(RN):â«RNV(|x|)|u|pdx<â},LKq=Lq(RN,K(|x|)dx) and study the compact embeddings of the radial subspace of W into LKq1+LKq2, and thus into LKq(=LKq+LKq) as a particular case. We consider exponents q1, q2, q that can be greater or smaller than p. Our results do not require any compatibility between how the potentials V and K behave at the origin and at infinity, and essentially rely on power type estimates of their relative growth, not of the potentials separately. We then apply these results to the investigation of existence and multiplicity of finite energy solutions to nonlinear p-Laplace equations of the formââ³pu+V(|x|)|u|pâ2u=g(|x|,u)in RN,1
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 451, Issue 1, 1 July 2017, Pages 345-370
Journal: Journal of Mathematical Analysis and Applications - Volume 451, Issue 1, 1 July 2017, Pages 345-370
نویسندگان
Marino Badiale, Michela Guida, Sergio Rolando,