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Register a new userW^{1,1}_0 minima of non coercive functionals
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We study an integral non coercive functional defined on H^1_0, proving the existence of a minimum in W^{1,1}_0.
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We study a degenerate elliptic equation, proving the existence of a W^{1,1}_0 distributional solution.
We study a nonlinear equation with an elliptic operator having degenerate coercivity. We prove the existence of a unique W^{1,1}_0 distributional solution under suitable summability assumptions on the source in Lebesgue spaces. Moreover, we prove that our problem has no solution if the source is a Radon measure concentrated on a set of zero harmonic capacity.
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