On a singular semilinear elliptic problem: multiple solutions via critical point theory

George Smyrlis, Francesca Faraci

DOI: http://dx.doi.org/10.12775/TMNA.2018.002

Abstract


We study existence and multiplicity of solutions of a semilinear elliptic problem involving a singular term.
Combining various techniques from critical point theory, under
different sets of assumptions, we prove the existence of $k$
solutions ($k\in\mathbb N$) or infinitely many weak solutions.

Keywords


Singular elliptic problem; multiple solutions; critical point theory

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