کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4958465 | 1364816 | 2017 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On a nonhomogeneous and singular quasilinear equation involving critical growth in R2
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On a nonhomogeneous and singular quasilinear equation involving critical growth in R2
On a nonhomogeneous and singular quasilinear equation involving critical growth in R2](/preview/png/4958465.png)
چکیده انگلیسی
This paper establishes sufficient conditions for the existence and multiplicity of solutions for nonhomogeneous and singular quasilinear equations of the form âÎu+V(x)uâÎ(u2)u=g(x,u)|x|a+h(x)inR2,where aâ[0,2), V(x) is a continuous positive potential bounded away from zero and which can be “large” at infinity, the nonlinearity g(x,s) is allowed to enjoy the critical exponential growth with respect to the Trudinger-Moser inequality and the nonhomogeneous term h belongs to Lq(R2) for some qâ(1,2]. By combining variational arguments in a nonstandard Orlicz space context with a singular version of the Trudinger-Moser inequality, we obtain the existence of two distinct solutions when âhâq is sufficiently small. Schrödinger equations of this type have been studied as models of several physical phenomena.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 74, Issue 3, 1 August 2017, Pages 513-531
Journal: Computers & Mathematics with Applications - Volume 74, Issue 3, 1 August 2017, Pages 513-531
نویسندگان
Manassés de Souza, Uberlandio B. Severo, Gilberto F. Vieira,