کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
843035 908544 2007 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bifurcations for quasilinear Schrödinger equations, I
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Bifurcations for quasilinear Schrödinger equations, I
چکیده انگلیسی

This paper is concerned with bifurcation problems for quasilinear Schrödinger type equations such as the modified nonlinear Schrödinger equations which have appeared as several models from mathematical physics. We give a new approach for dealing with bifurcation problems of nonlinear potential operators. The novelty of our approach lies in establishing multiple bifurcations without making a reduction to finite dimensional problems. The finite dimensional reduction procedures that have been used in the past work for semilinear problems but are not suitable for quasilinear problems. We give a unified approach requiring much less regularity of the problems. As applications we provide multiple bifurcation results for the modified nonlinear Schrödinger equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 67, Issue 11, 1 December 2007, Pages 3152–3166
نویسندگان
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