On a class of nonhomogeneous elliptic problems involving exponential critical growth
Keywords
Critical growth, Trudinger-Moser inequality, fixed point result, discontinuous nonlinearityAbstract
In this paper we establish the existence of solutions for elliptic equations of the form $-\text{div}(|\nabla u|^{n-2}\nabla u) + V(x)|u|^{n-2}u=g(x,u)+\lambda h$ in $\mathbb{R}^n$ with $n\geq2$. Here the potential $V(x)$ can change sign and the nonlinearity $g(x,u)$ is possibly discontinuous and may exhibit exponential growth. The proof relies on the application of a fixed point result and a version of the Trudinger-Moser inequality.Downloads
Published
2016-04-12
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1.
DE SOUZA, Manassés, DE MEDEIROS, Everaldo Souto and SEVERO, Uberlandio. On a class of nonhomogeneous elliptic problems involving exponential critical growth. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 44, no. 2, pp. 399 - 412. [Accessed 6 November 2024].
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