Can you show me how to work out as in picture? Thank you!

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  • Welcome to TeX.SX! This is a do-it-for-me question. Please show us what you've got so far (MWE). – TeXnician Apr 20 '17 at 8:48

Use aligned from the amsmath package. You seem to struggle with the very basics of LaTeX. Therefore please also see these two questions:

    -\Delta u &= \mu p(x,u), && x \in \Omega \\
    u &= 0, && x \in \partial\Omega,

enter image description here

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