وجود دو جواب برای یک رده از معادلات تفاضلی با عملگرp(k) - لاپلاسین و شرایط مقدار مرزی

نویسندگان
دانشگاه علوم کشاورزی و منابع طبیعی ساری، گروه علوم پایه
چکیده
در این مقاله وجود دو جواب برای مسئلۀ گسسته غیرخطی ناهمسان‌گر با نمای متغیر متناظر با عملگر- لاپلاسین با شرط مرزی دیریکله بررسی شده است. روش تغییراتی بر مبنای قضیه نقطه بحرانی برای تابعک‌های مشتق‌پذیر ابزار استفاده شده در این مسئله است. برای توضیح نتایج اصلی چندین مثال ارائه شده است.

کلیدواژه‌ها

عنوان مقاله English

Existence of Two Solutions for Nonlinear Difference Equations Involving p(k)-Laplacian Operator and Boundary Value Conditions

نویسندگان English

Mohsen Khaleghi Moghadam
Yasser Khalili
Sari Agricultural Sciences and Natural Resources University
چکیده English

In this paper, we deal with the existence of at least

two solutions for an anisotropic discrete non-linear problem involving p(k)-Laplacian with

Dirichlet boundary value conditions. The technical approach is based on a two critical

points theorem for differentiable functionals. Two examples are inserted to illustrate the

importance of main results../files/site1/files/62/6Abstract.pdf

کلیدواژه‌ها English

Discrete nonlinear boundary value problems
nontrivial solution
Variational methods
critical point theory
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