The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent
عنوان مقاله: The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent
شناسه ملی مقاله: JR_SCMA-12-1_004
منتشر شده در شماره 1 دوره 12 فصل در سال 1397
شناسه ملی مقاله: JR_SCMA-12-1_004
منتشر شده در شماره 1 دوره 12 فصل در سال 1397
مشخصات نویسندگان مقاله:
Somayeh Khademloo - Department of Basic Sciences, Babol Noushirvani University of Technology, ۴۷۱۴۸-۷۱۱۶۷, Babol, Iran.
Saeed Khanjany Ghazi - Department of Basic Sciences, Babol Noushirvani University of Technology, ۴۷۱۴۸-۷۱۱۶۷, Babol, Iran.
خلاصه مقاله:
Somayeh Khademloo - Department of Basic Sciences, Babol Noushirvani University of Technology, ۴۷۱۴۸-۷۱۱۶۷, Babol, Iran.
Saeed Khanjany Ghazi - Department of Basic Sciences, Babol Noushirvani University of Technology, ۴۷۱۴۸-۷۱۱۶۷, Babol, Iran.
In this work, we study the existence of non-trivial multiple solutions for a class of quasilinear elliptic systems equipped with concave-convex nonlinearities and critical growth terms in bounded domains. By using the variational method, especially Nehari manifold and Palais-Smale condition, we prove the existence and multiplicity results of positive solutions.
کلمات کلیدی: Variational methods, Nehari manifold, Dirichlet boundary condition, Critical Sobolev exponent
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/892049/