Displaying similar documents to “The first eigenvalue for the p -Laplacian operator.”

Nonlinear homogeneous eigenvalue problem in R N : nonstandard variational approach

Pavel Drábek, Zakaria Moudan, Abdelfettah Touzani (1997)

Commentationes Mathematicae Universitatis Carolinae

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The nonlinear eigenvalue problem for p-Laplacian - div ( a ( x ) | u | p - 2 u ) = λ g ( x ) | u | p - 2 u in N , u > 0 in N , lim | x | u ( x ) = 0 , is considered. We assume that 1 < p < N and that g is indefinite weight function. The existence and C 1 , α -regularity of the weak solution is proved.