Abstract
We study nontrivial solutions for a class of semilinear ellipticequation which could be resonant at infinity. We establish theexistence of solutions for the equation by considering the modifiednon-resonant problem associated with the original equation throughMorse theory. Moreover, only linear growth assumption is imposed onthe nonlinearity and condition on the potential is weaker than thecoercive assumption.
Citation
Rong Cheng. Jianhua Hu. "On solutions of semilinear elliptic equation with linear growth nonlinearity in $\mathbb{R}^N$." Topol. Methods Nonlinear Anal. 46 (1) 45 - 56, 2015. https://doi.org/10.12775/TMNA.2015.036
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