Abstract
It is established, via variational methods, the existence and multiplicity of solutions for a class of semilinear elliptic equations in ${{\mathbb R}^N}$. The condition on the potential implies that the associated linear problem possesses a sequence of positive eigenvalues. This fact is used to study double resonant problems under a local nonquadraticity condition at infinity and pointwise limits. For the existence of solution the nonlinearity may satisfy a critical growth condition.
Citation
Marcelo F. Furtado. Liliane A. Maia. Elves A. B. Silva. "On a double resonant problem in $\Bbb R^N$." Differential Integral Equations 15 (11) 1335 - 1344, 2002. https://doi.org/10.57262/die/1356060725
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