Existence of solutions for a class of $p(x)$-Laplacian equations involving a concave-convex nonlinearity with critical growth in $\mathbb{R}^{N}$
DOI:
https://doi.org/10.12775/TMNA.2015.020Keywords
Variational Methods, $p(x)$-Laplacian, critical growthAbstract
We prove the existence of solutions for a class of quasilinear problems involving variable exponents and with nonlinearity having critical growth. The main tool used is the variational method, more precisely, Ekeland's Variational Principle and the Mountain Pass Theorem.Downloads
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2015-06-01
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ALVES, Claudianor Oliveira and FERREIRA, Marcelo C. Existence of solutions for a class of $p(x)$-Laplacian equations involving a concave-convex nonlinearity with critical growth in $\mathbb{R}^{N}$. Topological Methods in Nonlinear Analysis. Online. 1 June 2015. Vol. 45, no. 2, pp. 399 - 422. [Accessed 10 December 2024]. DOI 10.12775/TMNA.2015.020.
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