وجود حداقل سه جواب ضعیف برای یک دستگاه شبه‌خطی بیضوی
محورهای موضوعی : آمار
1 - گروه ریاضی، دانشکده علوم پایه، دانشگاه گنبدکاووس، گنبدکاووس، ایران
کلید واژه: three weak solutions, Boundary value problems, variational method,
چکیده مقاله :
در این مقاله با استفاده از قضیه‌هایی که توسط پروفسور ریچری در مقاله [8] و پروفسور بوناننو در مقاله [6] اثبات شده است، وجود حداقل سه جواب ضعیف را برای یک دستگاه شبه‌خطی بیضوی ثابت خواهیم کرد. در واقع، ما به دستگاه معادله دیفرانسیل یک عملگر غیرخطی مشتق‌پذیر نسبت خواهیم داد به‌طوری‌که نقاط بحرانی این عملگر جواب‌های ضعیف از دستگاه مورد‌نظر باشند.
In this paper, applying two theorems of Ricceri and Bonanno, we will establish the existence of three weak solutions for a quasilinear elliptic system. Indeed, we will assign a differentiable nonlinear operator to a differential equation system such that the critical points of this operator are weak solutions of the system. In this paper, applying two theorems of Ricceri and Bonanno, we will establish the existence of three weak solutions for a quasilinear elliptic system. Indeed, we will assign a differentiable nonlinear operator to a differential equation system such that the critical points of this operator are weak solutions of the system. In this paper, applying two theorems of Ricceri and Bonanno, we will establish the existence of three weak solutions for a quasilinear elliptic system. Indeed, we will assign a differentiable nonlinear operator to a differential equation system such that the critical points of this operator are weak solutions of the system.
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