On the differentiability of weak solutions of certain non-elliptic equations II
H. Marcinkowska (1963)
Studia Mathematica
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Displaying similar documents to “Weak compactness of solutions for fourth order elliptic systems with critical growth”
On the differentiability of weak solutions of certain non-elliptic equations II
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Let Ω be a bounded domain in Rn with n ≥ 3. In this paper we are concerned with the problem of finding u ∈ H0 1 (Ω) satisfying the nonlinear elliptic problems Δu + |u|(n+2/n-2) + f(x) = 0 in Ω and u(x) = 0 on ∂Ω, and Δu + u + |u|(n+2/n-2) + f(x) = 0 in Ω and u(x) = 0 on ∂Ω, when of f ∈ L∞(Ω). ...