## Capacitary strong type estimates in semilinear problems.(English)Zbl 0741.35012

The authors consider semilinear boundary value problems of the form $$- \Delta u=u^ \gamma+f$$ in $$\Omega$$, $$u=0$$ on $$\partial\Omega$$ and $$u$$ is supposed to be nonnegative. $$\Omega$$ is a bounded domain of $$R^ N$$, $$f\geq 0$$ on $$\Omega$$ and $$\gamma\in (1,\infty)$$. They then study existence questions for a certain class of weak solutions.
Reviewer: R.Sperb (Zürich)

### MSC:

 35J60 Nonlinear elliptic equations 31C45 Other generalizations (nonlinear potential theory, etc.) 42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
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### References:

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