# Multiplicity of positive solutions for (p,q)-Laplace equations with two parameters

@article{Bobkov2020MultiplicityOP, title={Multiplicity of positive solutions for (p,q)-Laplace equations with two parameters}, author={Vladimir Bobkov and Mieko Tanaka}, journal={Communications in Contemporary Mathematics}, year={2020} }

We study the zero Dirichlet problem for the equation [Formula: see text] in a bounded domain [Formula: see text], with [Formula: see text]. We investigate the relation between two critical curves on the [Formula: see text]-plane corresponding to the threshold of existence of special classes of positive solutions. In particular, in certain neighborhoods of the point [Formula: see text], where [Formula: see text] is the first eigenfunction of the [Formula: see text]-Laplacian, we show the…

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