Jtdylktuy

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1 1 $begingroup$ I know that generally Neumann problem only has unique solutions up to constants. But what about this case (which was brought to me by my friend): If $Omega$ is a bounded region and its boundary is $C^2$, $gin C(partial Omega)$ is such that $partial_nu u=g$ on $partialOmega$, $Delta u=0$ on $Omega$. Then does it admit a unique solution? pde share | cite | improve this question asked Dec 8 '13 at 4:51 Xuxu Xuxu 546 4 13 $endgroup$