## Ground state solutions for singular semi-linear elliptic equations.(English)Zbl 1167.35371

Summary: We prove the existence of a ground state solution for the semi-linear elliptic equation $$-\Delta u = f(x,u)$$ on $$\mathbb R^N$$ under suitable conditions on a locally Hölder continuous non-linearity $$f(x,t)$$. The non-linearity may exhibit a singularity as $$t\rightarrow 0^{+}$$.

### MSC:

 35J60 Nonlinear elliptic equations
Full Text:

### References:

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