References
- Acerbi E, Mingione G. Regularity results for stationary electrorheological fluids. Arch Ration Mech Anal. 2002;164:213–259.
- Fan X, Zhang Q, Zhao Y. A strong maximum principle for p(x)-Laplace equations. Chinese J Contemp Math. 2000;21:1–7.
- Fan XL, Zhang QH. Existence of solutions for p(x)-Laplacian Dirichlet problem. Nonlinear Anal. 2003;52:1843–1852.
- Fan XL, Zhao D. On the spaces Lp(x)(Ω) and Wm,p(x)(Ω), J. Math Anal Appl. 2001;263:424–446.
- Ragusa MA, Tachikawa A. Partial regularity of the minimizers of quadratic functionals with VMO coefficients. J Lond Math Soc Sec Ser. 2005;72(3):609–620.
- Ragusa MA, Tachikawa A. Regularity for minimizers for functionals of double phase with variable exponents. Adv Nonlinear Anal. 2020;9:710–728.
- Růžička M. Electrorheological fluids: modeling and mathematical theory. Berlin: Springer-Verlag; 2000.
- dos Santos GCG, Figueiredo G, Silva JRS. Multiplicity of positive solutions for an anisotropic problem via sub-supersolution method and mountain pass theorem. J Convex Anal. 2000;27.
- Fan X. On the sub-supersolution method for p(x)-Laplacian equations. J Math Anal Appl. 2007;330:665–682.
- Stampacchia G. Equations elliptiques du second ordre à coefficients discontinus. Montreal, Que.: Les Presses de l'Université de Montréal; 1966.
- Struwe M. Variational methods. Applications to nonlinear partial differential equations and Hamiltonian systems. 2nd ed. Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 34, Berlin: Springer; 1996.
- Ambrosetti A, Rabinowitz PH. Dual variational methods in critical point theory and applications. J Funct Anal. 1973;14:349–381.
- Lindqvist P. Notes on the stationary p-Laplace equation. Cham: Springer;2019. (Springer Briefs in Mathematics).