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arXiv · 1304.7141

Nonlinear perturbations of a $p(x)$-Laplacian equation with critical growth in $\mathbb{R}^N$

Claudianor O. Alves·Marcelo C. Ferreira
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Abstract

We prove the existence of solution for a class of $p(x)$-Laplacian equations where the nonlinearity has a critical growth. Here, we consider two cases: the first case involves the situation where the variable exponents are periodic functions. The second one involves the case where the variable exponents are nonperiodic perturbations.

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Claudianor O. Alves, Marcelo C. Ferreira. 2013-12-11. Nonlinear perturbations of a $p(x)$-Laplacian equation with critical growth in $\mathbb{R}^N$. https://doi.org/10.1002/mana.201200336

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