On an indefinite nonhomogeneous equation with critical exponential growth

Karla Carolina V. de Sousa () and Leandro S. Tavares ()
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Karla Carolina V. de Sousa: Federal University of Tocantins
Leandro S. Tavares: Center of Sciences and Technology, Federal University of Cariri

Partial Differential Equations and Applications, 2023, vol. 4, issue 4, 1-12

Abstract: Abstract In this manuscript it is obtained existence of solution for the equation $$\begin{aligned} -\text {div}(a(|\nabla u|^p)|\nabla u|^{p-2}\nabla u) +b(|u|^p)|u|^{p-2}u = c(x)f(u), \ \text {in} \ {\mathbb {R}}^N, \end{aligned}$$ - div ( a ( | ∇ u | p ) | ∇ u | p - 2 ∇ u ) + b ( | u | p ) | u | p - 2 u = c ( x ) f ( u ) , in R N , where $$1

Keywords: Exponential critical growth; Quasilinear equation; Trudinger–Moser inequality; Variational methods; 35J60; 35A15; 35A23 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s42985-023-00246-y

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