On a class of nonlinear elliptic problems with Neumann boundary conditions growing like a power (Q1909629)

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scientific article; zbMATH DE number 856796
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On a class of nonlinear elliptic problems with Neumann boundary conditions growing like a power
scientific article; zbMATH DE number 856796

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    On a class of nonlinear elliptic problems with Neumann boundary conditions growing like a power (English)
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    9 May 1996
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    Dans \(\Omega\subset \mathbb{R}^n\), les auteurs étudient les conditions d'existence des solutions de \[ \Delta u=au^p\quad\text{dans }\Omega,\quad u\Biggl|_{\Gamma_0}=0,\quad {\partial u\over \partial n}\Biggr|_{\Gamma_1}=u^q. \]
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    nonlinear Neumann boundary condition
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    existence
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    semilinear elliptic equation
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