纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2012年
3期
412-417
,共6页
环绕定理%非线性边界%p-Laplacian问题
環繞定理%非線性邊界%p-Laplacian問題
배요정리%비선성변계%p-Laplacian문제
linking argument%nonlinear boundary condition%p-Laplacian problem
研究了一类带不定权非线性边界的p-Laplacian椭圆方程.获得了当非线性边界的特征值参数小于第二特征值时,该方程存在非平凡解.主要工具为环绕定理.
研究瞭一類帶不定權非線性邊界的p-Laplacian橢圓方程.穫得瞭噹非線性邊界的特徵值參數小于第二特徵值時,該方程存在非平凡解.主要工具為環繞定理.
연구료일류대불정권비선성변계적p-Laplacian타원방정.획득료당비선성변계적특정치삼수소우제이특정치시,해방정존재비평범해.주요공구위배요정리.
In this paper, we consider a class of p-Laplacian elliptic equation with indefinite weights nonlinear boundary condition. The existence of nontrivial solutions for the equation is obtained when the eigenvalue parameter of the indefinite weight is less than the second eigenvaiue. The main tool is the linking argument.
