مشخصات پژوهش

صفحه نخست /EXISTENCE AND MULTIPLICITY OF ...
عنوان EXISTENCE AND MULTIPLICITY OF WEAK SOLUTIONS FOR SOME p(x)-LAPLACIAN-LIKE PROBLEMS VIA VARIATIONAL METHODS
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها Variable exponent Sobolev spaces; Weak solutions; p(x)-Laplacian-like problems; Variational methods
چکیده Using variational methods, we study the existence and multiplicity of weak solutions for some p(x)-Laplacian-like problems. First, without assuming any asymptotic condition neither at zero nor at infinity, we prove the existence of a non-zero solution for our problem. Next, we obtain the existence of two solutions, assuming only the classical Ambrosetti- Rabinowitz condition. Finally, we present a three solutions existence result under appropriate condition on the potential F.
پژوهشگران سعید شکوه (نفر دوم)، چونگ چونگ (نفر سوم)، قاسم علیزاده افروزی (نفر اول)