References
- Corrêa FJSA, Costa ACR. Existence and multiplicity of solutions for nonlocal Neumann problem with non-standard growth. Differ Integral Equ. 2016;29(3–4):377–400.
- Lions PL. The concentration-compactness principle in the calculus of variations. The limit case, part 1. Rev Mat Iberoam. 1985;1(1):145–201. doi: 10.4171/RMI/6
- Bonder JF, Silva A. Concentration compactness principle for variable exponent spaces and applications. Electron J Differ Equations. 2010;(141):1–18.
- Fu Y. The principle of concentration compactness in Lp(x) spaces and its application. Nonlinear Anal-Theor. 2009;71(5-6):1876–1892. doi: 10.1016/j.na.2009.01.023
- Liang S, Zhang J. Infinitely many small solutions for the p(x)-Laplacian operator with nonlinear boundary conditions. Ann Mat Pura Appl (4). 2013;192(1):1–16. doi: 10.1007/s10231-011-0209-y
- Guo E, Zhao P. Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions. Bound Value Probl. 2012;2012:79:15.
- Bonder JF, Saintier N, Silva A. On the Sobolev trace theorem for variable exponent spaces in the critical range. Ann Mat Pura Appl (4). 2014;193(6):1607–1628. doi: 10.1007/s10231-013-0346-6
- Bonder JF, Saintier N, Silva A. Existence of solutions to a critical trace equation with variable exponent. Asymptot Anal. 2015;93(1-2):161–185. doi: 10.3233/ASY-151289
- Mihailescu M, Radulescu V. A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids. Proc R Soc Lond Ser A Math Phys Eng Sci. 2006;462(2073):2625–2641. doi: 10.1098/rspa.2005.1633
- Ru̇z̆ic̆ka M. Electrorheological fluids: modelling and mathematical theory. Berlin: Springer-Verlag; 2000.
- Fan X, Shen JS, Zhao D. Sobolev embedding theorems for spaces Wk,p(x)(Ω). J Math Anal Appl. 2001;262(2):749–760. doi: 10.1006/jmaa.2001.7618
- Fan X, Zhang Q. Existence of solutions for p(x)-Laplacian Dirichlet problems. Nonlinear Anal-Theor. 2003;52(8):1843–1852. doi: 10.1016/S0362-546X(02)00150-5
- Fan X, Zhao D. On the spaces Lp(x) and Wm,p(x). J Math Anal Appl. 2001;263(2):424–446. doi: 10.1006/jmaa.2000.7617
- Shang X, Wang Z. Existence of solutions for discontinuous p(x)-Laplacian problems with critical exponents. Electron J Differ Equations. 2012;(25):1–12.
- Chabrowski J. Variational methods for potential operator equations with applications to nonlinear elliptic equations, volume 24 of de Gruyter studies in mathematics. Berlin: Walter de Gruyter; 1997.