References
- [1] A. Abbassi, E. Azroul, A. Barbara, Degenerate p(x)-elliptic equation with second membre in L1. Advances in Science, Technology and Engineering Systems Journal. Vol. 2, No. 5 (2017), 45-54.
- [2] A. Abbassi, C. Allalou and A. Kassidi, Existence of weak solutions for nonlinear p-elliptic problem by topological degree, Nonlinear Dyn. Syst. Theory, 20(3) (2020) 229-241.
- [3] S. Aizicovici, N.S. Papageorgiou, V. Staicu, Nodal solutions for nonlinear nonhomogeneous Neumann equations, Topol. Methods Nonlinear Anal. 43 (2014) 421-438.
- [4] Y. Akdim, E. Azroul and A. Benkirane, Existence of solutions for quasilinear degenerate elliptic equations. Electronic Journal of Differential Equations (EJDE), 2001, vol. 2001, p. Paper No. 71, 19.
- [5] C. Atkinson and C. R. Champion, Some boundary value problems for the equation ∇.(| ∇ ϕ |N∇ ϕ) = 0, Quart. J. lllcch. Appl. Math. 37 (1984), 401-419.
- [6] C. Atkinson and C. W. Jones, Similarity solutions in some non-linear diffusion problems and in boundary-layer flow of a pseudo plastic fluid, Quart. J. Mech. Appl. Malh. 27 (1974), 193-211.
- [7] J. Baranger and K. Najib, Numerical analysis for quasi-Newtonian flow obeying the power Iaw or the Carreau law, Numer. Math. 58 (1990), 35-49.
- [8] J. Berkovits, Extension of the LeraySchauder degree for abstract Hammerstein type mappings. Journal of Differential Equations, 2007, vol. 234, no 1, p. 289-310.
- [9] G. Bonanno, G. D’Agui and A. Sciammetta. Nonlinear elliptic equations involving the p-laplacian with mixed Dirichlet-Neumann boundary conditions. Opuscula Mathematica, 2019, vol. 39, no 2.
- [10] F. E. Browder, Fixed point theory and nonlinear problems, Bull. Amer. Math. Soc. (N.S.), 9 (1983), 1-39.
- [11] Y.J. Cho, and Y. Q. Chen. Topological degree theory and applications. Chapman and Hall/CRC, 2006.
- [12] P. Drabek, A. Kufner and F. Nicolosi, Non Linear Elliptic Equations, Singular and Degenerated Cases. University of West Bohemia, 1996.
- [13] P. Drabek, A. Kufner and V. Mustonen, Pseudo-monotonicity and degenerate or singular elliptic operators, Bull. Austral. Math. Soc. Vol. 58 (1998), 213-221.
- [14] M. Filippakis, N.S. Papageorgiou, Nodal solutions for Neumann problems with a nonhomogeneous differential operator, Funkcial. Ekvac. 56 (2013) 63-79.
- [15] J. P. Garca Azorero, and I. Peral Alonso, Existence and nonuniqueness for the p-Laplacian, Communications in Partial Differential Equations 12.12 (1987): 126-202.
- [16] L. Gasiński, N.S. Papageorgiou, Multiple solutions for a class of nonlinear Neumann eigenvalue problems, Commun. Pure Appl. Anal. 13 (2014) 1491-1512
- [17] M. A. Hammou, E. Azroul and B. Lahmi, Existence of solutions for p(x)-Laplacian Dirichlet problem by topological degree, Bulletin of the Transilvania University of Brasov ffl Vol 11(60), No. 2-2018, Series III: Mathematics, Informatics, Physics, 29-38.
- [18] M. A. Hammou, E. Azroul and B. Lahmi, Topological degree methods for a Strongly nonlinear p(x)-elliptic problem. Revista Colombiana de Matemticas 53.1 (2019): 27-39.
- [19] A. Hirn, Approximation of the p-Stokes equations with equal-order finite elements, J. Math. Fluid Mech. 15 (2013) 65-88.
- [20] S.C. Hu, N.S. Papageorgiou, Nonlinear Neumann problems with indefinite potential and concave terms, Commun. Pure Appl. Anal. 14 (2015) 2561 – 2616.
- [21] T. He, Z. A. Yao and Z. Sun, Multiple and nodal solutions for parametric Neumann problems with nonhomogeneous differential operator and critical growth. Journal of Mathematical Analysis and Applications, 2017, vol. 449, no 2, p. 1133-1151.
- [22] B. Kawohl, On a family of torsional creep problems, J. R. Angew. Math. 410 (1990) 1-22.
- [23] I.S. Kim, A topological degree and applications to elliptic problems with discontinuous nonlinearity, J. Nonlinear Sci. Appl. 10, 612-624 (2017).
- [24] J. Leray, J. Schauder, Topologie et quations fonctionnelles, Ann. Sci. Ec. Norm., 51 (1934), 45-78
- [25] S. Liu, Existence of solutions to a superlinear p-Laplacian equation, Electron. J. Differential Equations 66.6 (2001).
- [26] Z. Liu, D. Motreanu, and S. Zeng. Positive solutions for nonlinear singular elliptic equations of p-Laplacian type with dependence on the gradient. Calculus of Variations and Partial Differential Equations 58.1 (2019): 28.
- [27] S.E. Manouni, N.S. Papageorgiou, P. Winkert, Parametric nonlinear nonhomogeneous Neumann equations involving a nonhomogeneous differential operator, Monatsh. Math. 177 (2015) 203-233.
- [28] D. Motreanu, V. V. Motreanu and N. Papageorgiou, Topological and variational methods with applications to nonlinear boundary value problems. Vol. 1. No. 7. New York: Springer, 2014.
- [29] J. R. Philip, N-diffusion, Aust. J. Phiys. 14 (1961), 1-13.
- [30] M. Sabouri and M. Dehghan. A hk mortar spectral element method for the p-Laplacian equation. Computers and Mathematics with Applications 76.7 (2018): 1803-1826.
- [31] I. V. Skrypnik, Methods for analysis of nonlinear elliptic boundary value problems, Translated from the 1990 Russian original by Dan D. Pascali, Translations of Mathematical Monographs, American Mathematical Society, Providence, RI, (1994).
- [32] I. V. Skrypnik, Nonlinear elliptic equations of higher order, (Russian) Gamoqeneb. Math. Inst. Sem. Mosen. Anotacie, 7 (1973), 51-52.
- [33] E. Zeider, Nonlinear Functional Analysis and its Applications, II\B : Nonlinear Monotone Operators, Springer, New York, 1990.