جواب های چندگانه برای مسایل مقدار مرزی مرتبه دوم با نماهای متغیر

در این مقاله نتایج وجودی را برای معادلات دیفرانسیل معمولی به همراه مسائل بیضوی نویمن که به دو پارامتر حقیقی بستگی دارند بدست آورده.ایم با استفاده از نظریه نقطه بحرانی به طور دقیق وجود سه جواب را برای مسائل (p(x- لاپلاسین نشان می دهیم.

multiplicity results for a second-order boundary-value problems with variable expnents

in this paper, we introduce the lebesgue -sobolev spaces critical points theory then we consider the boundary value problem involving an ordinary differential equation with p(x)-laplacian operator, and nonhomogeneous neumann conditions. existence results for ordinary differential equations with elliptic neumann problems that depending on two real parameters are investigated. precisely, by using the critical point theory, we show the existence of three weak solutions for p(x)-laplacian problems. using the critical point theorems we have proved, we give some conclusionsin this paper, we introduce the lebesgue -sobolev spaces critical points theory then we consider the boundary value problem involving an ordinary differential equation with p(x)-laplacian operator, and nonhomogeneous neumann conditions. existence results for ordinary differential equations with elliptic neumann problems that depending on two real parameters are investigated. precisely, by using the critical point theory, we show the existence of three weak solutions for p(x)-laplacian problems. using the critical point theorems we have proved, we give some conclusions