Existence of solutions for a class of $p(x)$-Laplacian equations involving a concave-convex nonlinearity with critical growth in $\mathbb{R}^{N}$
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https://doi.org/10.12775/TMNA.2015.020Słowa kluczowe
Variational Methods, $p(x)$-Laplacian, critical growthAbstrakt
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.Pobrania
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2015-06-01
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ALVES, Claudianor Oliveira & 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 czerwiec 2015, T. 45, nr 2, s. 399–422. [udostępniono 22.7.2024]. DOI 10.12775/TMNA.2015.020.
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