# Removable singularities for some nonlinear elliptic equations

```@article{Brezis1980RemovableSF,
title={Removable singularities for some nonlinear elliptic equations},
author={Haim Brezis and Laurent V{\'e}ron},
journal={Archive for Rational Mechanics and Analysis},
year={1980},
volume={75},
pages={1-6}
}```
• Published 1 March 1980
• Mathematics
• Archive for Rational Mechanics and Analysis
then there exists a C 2 function on f2 which coincides with u on f2'. In other words the equation (2) A u + l u f l u = O has the property that any isolated singularity is "removable". When p=(N+2)/(N-2) , this result is a consequence of a theorem of LOEWNER & NIRENBERG (see [2], Theorem 7). We note that the restriction p > N / ( N 2 ) is essential, for if I < p < N / ( N 2 ) there are solutions of (2) with isolated singularities (the full description of such singularities is discussed in [3]).
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## References

SHOWING 1-4 OF 4 REFERENCES
Schrödinger operators with singular potentials
Recently B. Simon proved a remarkable theorem to the effect that the Schrödinger operatorT=−Δ+q(x) is essentially selfadjoint onC0∞ (Rm if 0≦q ∈L2(Rm). Here we extend the theorem to a more general
Solutions singuli6res d'6quations elliptiques semilin6aires