Multiplicity results for a class of quasilinear equations with exponential critical growth

Claudianor O. Alves and Luciana R. de Freitas

Mathematische Nachrichten, 2018, vol. 291, issue 2-3, 222-244

Abstract: In this work, we prove the existence and multiplicity of positive solutions for the following class of quasilinear elliptic equations: −εNΔNu+1+μA(x)uN−2u=f(u)inRN,u>0inRN,where ΔN is the N†Laplacian operator, N≥2, f is a function with exponential critical growth, μ and ε are positive parameters and A is a nonnegative continuous function verifying some hypotheses. To obtain our results, we combine variational arguments and Lusternik–Schnirelman category theory.

Date: 2018
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https://doi.org/10.1002/mana.201500371

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:291:y:2018:i:2-3:p:222-244

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