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- W2345442570 abstract "We consider the existence of at least two or three distinct weak solutions for the nonlinear elliptic equations $$ textstylebegin{cases} {-}operatorname{div}(varphi(x,nabla u))+{|u|}^{p-2}u= lambda f(x,u) &mbox{in } Omega, varphi(x,nabla u) frac{partial u}{partial n}= lambda g(x,u) & mbox{on }partialOmega. end{cases} $$ Here the function $varphi(x,v)$ is of type $|v|^{p-2}v$ and the functions f, g satisfy a Caratheodory condition. To do this, we give some critical point theorems for continuously differentiable functions with the Cerami condition which are extensions of the recent results in Bonanno (Adv. Nonlinear Anal. 1:205-220, 2012) and Bonanno and Marano (Appl. Anal. 89:1-10, 2010) by applying Zhong’s Ekeland variational principle." @default.
- W2345442570 created "2016-06-24" @default.
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- W2345442570 date "2016-05-09" @default.
- W2345442570 modified "2023-09-24" @default.
- W2345442570 title "Multiplicity results for nonlinear Neumann boundary value problems involving p-Laplace type operators" @default.
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- W2345442570 doi "https://doi.org/10.1186/s13661-016-0603-x" @default.
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