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edited Nov 25, 2019 at 4:48

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Is $(e^{u}+1)\Delta u+u=0$ the Euler-Lagrange equation of a functional energy?

Does there exist a functional energy $I$ such that $$(e^{u}+1)\Delta u+u=0$$ is the Euler-Lagrange equation associated with the energy functional $I$?

ap.analysis-of-pdes elliptic-pde

asked Nov 25, 2019 at 0:00

liding