کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840619 908486 2012 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multiple solutions for a class of nonperiodic Dirac equations with vector potentials
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Multiple solutions for a class of nonperiodic Dirac equations with vector potentials
چکیده انگلیسی

This paper is concerned with the nonperiodic Dirac equations {−i∑k=13αk∂ku+aβu+M(x)u=Fu(x,u)inR3,u(x)→0as|x|→∞, where M(x)M(x) is a vector potential. We introduce a new assumption on the potential MM, and prove that the corresponding Dirac operator has only a point spectrum. Moreover, by applying a generalized linking theorem for strongly indefinite functionals, we establish the existence of multiple solutions for asymptotically quadratic nonlinearity as well as the existence of infinitely many solutions for superquadratic nonlinearity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 14, September 2012, Pages 5589–5600
نویسندگان
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