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صفحه نخست /MINIMAX INEQUALITY FOR A ...
عنوان MINIMAX INEQUALITY FOR A SPECIAL CLASS OF FUNCTIONALS AND ITS APPLICATION TO EXISTENCE OF THREE SOLUTIONS FOR A DIRICHLET PROBLEM IN ONE-DIMENSIONAL CASE
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها Minimax inequality; critical point; three solutions; multiplicity results; Dirichlet problem
چکیده In this paper, we establish an equivalent statement of minimax inequality for a special class of functionals. As an application, a result for the existence of three solutions to the Dirichlet problem ½ −(|u 0 | p−2u 0 ) 0 = λf(x, u), u(a) = u(b) = 0, where f : [a, b] × R → R is a continuous function, p > 1 and λ > 0, is emphasized.
پژوهشگران اله بخش یزدانی چراتی (نفر چهارم)، حسن حسین زاده (نفر سوم)، شاپور حیدرخانی (نفر دوم)، قاسم علیزاده افروزی (نفر اول)