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Svetoslav
  • Member for 9 years, 2 months
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12 votes
0 answers
417 views

$\int\limits_{\Omega}{uvdx}<\infty,\forall v\in H_0^1(\Omega)$ implies $u\in L^{6/5}(\Omega)$

9 votes
2 answers
4k views

Pointwise almost everywhere convergent subsequence of $\{\sin (nx)\}$

2 votes
0 answers
110 views

$\forall g\in L^2(\Omega)$ exists $g_n\in H_0^1(\Omega)$ and $\epsilon>0$ s.t $g_n(x)\to g(x),\,a.e$ and $|g_n(x)|\leq |g(x)|+\epsilon$

1 vote
1 answer
208 views

Corollary 2.1 in Ekeland and Temam on lower semicontinuity

1 vote
1 answer
117 views

Continuity of the convex functional $F(v)=\int\limits_{\Omega}{e^udx}$ over $H_0^1(\Omega)$ and $L^2(\Omega)$

0 votes
1 answer
581 views

The unique extension by continuity of a bounded linear functional from a dense subspace to the whole space

0 votes
1 answer
384 views

Weak formulation of a nonlinear problem with test functions in a dense subspace of $H_0^1$