On solutions of semilinear elliptic equation with linear growth nonlinearity in $\mathbb{R}^{N}$
DOI:
https://doi.org/10.12775/TMNA.2015.036Słowa kluczowe
Critical points, semilinear elliptic equation, MorsetheoryAbstrakt
We study nontrivial solutions for a class of semilinear elliptic equation which could be resonant at infinity. We establish the existence of solutions for the equation by considering the modified non-resonant problem associated with the original equation through Morse theory. Moreover, only linear growth assumption is imposed on the nonlinearity and condition on the potential is weaker than the coercive assumption.Pobrania
Opublikowane
2015-09-01
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1.
HU, Jianhua & CHENG, Rong. On solutions of semilinear elliptic equation with linear growth nonlinearity in $\mathbb{R}^{N}$. Topological Methods in Nonlinear Analysis [online]. 1 wrzesień 2015, T. 46, nr 1, s. 45–56. [udostępniono 22.7.2024]. DOI 10.12775/TMNA.2015.036.
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