TY - JOUR AU - Antontsev, S. AU - Rodrigues, J. F. PY - 2006 DA - 2006// TI - On stationary thermo-rheological viscous flows JO - Ann. Univ. Ferrara, Sez. 7: Sci. Mat. VL - 52 UR - https://doi.org/10.1007/s11565-006-0002-9 DO - 10.1007/s11565-006-0002-9 ID - Antontsev2006 ER - TY - JOUR AU - Rajagopal, K. AU - Ruzicka, M. PY - 2001 DA - 2001// TI - Mathematical modelling of electro-rheological fluids JO - Contin. Mech. Thermodyn. VL - 13 UR - https://doi.org/10.1007/s001610100034 DO - 10.1007/s001610100034 ID - Rajagopal2001 ER - TY - JOUR AU - Acerbi, E. AU - Mingione, G. PY - 2002 DA - 2002// TI - Regularity results for stationary electro-rheological fluids JO - Arch. Ration. Mech. Anal. VL - 164 UR - https://doi.org/10.1007/s00205-002-0208-7 DO - 10.1007/s00205-002-0208-7 ID - Acerbi2002 ER - TY - JOUR AU - Chen, Y. AU - Levine, S. AU - Rao, M. PY - 2006 DA - 2006// TI - Variable exponent, linear growth functionals in image restoration JO - SIAM J. Appl. Math. VL - 66 UR - https://doi.org/10.1137/050624522 DO - 10.1137/050624522 ID - Chen2006 ER - TY - JOUR AU - Aboulaich, R. AU - Meskine, D. AU - Souissi, A. PY - 2008 DA - 2008// TI - New diffusion models in image processing JO - Comput. Math. Appl. VL - 56 UR - https://doi.org/10.1016/j.camwa.2008.01.017 DO - 10.1016/j.camwa.2008.01.017 ID - Aboulaich2008 ER - TY - STD TI - Levine, S., Chen, Y.M., Stanich, J.: Image restoration via nonstandard diffusion. Department of Mathematics and Computer Science, Duquesne University (2004) ID - ref6 ER - TY - JOUR AU - Guo, B. AU - Li, Y. J. AU - Gao, W. J. PY - 2015 DA - 2015// TI - Singular phenomena of solutions for nonlinear diffusion equations involving p(x)$p(x)$-Laplace operator and nonlinear source JO - Z. Angew. Math. Phys. VL - 66 UR - https://doi.org/10.1007/s00033-014-0463-0 DO - 10.1007/s00033-014-0463-0 ID - Guo2015 ER - TY - JOUR AU - Antontsev, S. AU - Shmarev, S. PY - 2007 DA - 2007// TI - Parabolic equations with anisotropic nonstandard growth conditions JO - Int. Ser. Numer. Math. VL - 154 UR - https://doi.org/10.1007/978-3-7643-7719-9_4 DO - 10.1007/978-3-7643-7719-9_4 ID - Antontsev2007 ER - TY - JOUR AU - Antontsev, S. AU - Shmarev, S. PY - 2009 DA - 2009// TI - Anisotropic parabolic equations with variable nonlinearity JO - Publ. Math. VL - 53 UR - https://doi.org/10.5565/PUBLMAT_53209_04 DO - 10.5565/PUBLMAT_53209_04 ID - Antontsev2009 ER - TY - JOUR AU - Antontsev, S. AU - Shmarev, S. PY - 2008 DA - 2008// TI - Extinction of solutions of parabolic equations with variable anisotropic nonlinearities JO - Proc. Steklov Inst. Math. VL - 261 UR - https://doi.org/10.1134/S0081543808020028 DO - 10.1134/S0081543808020028 ID - Antontsev2008 ER - TY - JOUR AU - Antontsev, S. AU - Shmarev, S. PY - 2010 DA - 2010// TI - Vanishing solutions of anisotropic parabolic equations with variable nonlinearity JO - J. Math. Anal. Appl. VL - 361 UR - https://doi.org/10.1016/j.jmaa.2009.07.019 DO - 10.1016/j.jmaa.2009.07.019 ID - Antontsev2010 ER - TY - JOUR AU - Antontsev, S. AU - Chipot, M. AU - Shmarev, S. PY - 2013 DA - 2013// TI - Uniqueness and comparison theorems for solutions of doubly nonlinear parabolic equations with nonstandard growth conditions JO - Commun. Pure Appl. Anal. VL - 12 UR - https://doi.org/10.3934/cpaa.2013.12.1527 DO - 10.3934/cpaa.2013.12.1527 ID - Antontsev2013 ER - TY - JOUR AU - Antontsev, S. AU - Shmarev, S. PY - 2014 DA - 2014// TI - Doubly degenerate parabolic equations with variable nonlinearity II: blow-up and extinction in a finite time JO - Nonlinear Anal. VL - 95 UR - https://doi.org/10.1016/j.na.2013.09.027 DO - 10.1016/j.na.2013.09.027 ID - Antontsev2014 ER - TY - JOUR AU - Gao, Y. C. AU - Chu, Y. AU - Gao, W. J. PY - 2016 DA - 2016// TI - Existence, uniqueness, and nonexistence of solution to nonlinear diffusion equations with p(x,t)$p(x, t)$-Laplacian operator JO - Bound. Value Probl. VL - 2016 UR - https://doi.org/10.1186/s13661-016-0657-9 DO - 10.1186/s13661-016-0657-9 ID - Gao2016 ER - TY - JOUR AU - Liu, B. AU - Dong, M. PY - 2019 DA - 2019// TI - A nonlinear diffusion problem with convection and anisotropic nonstandard growth conditions JO - Nonlinear Anal., Real World Appl. VL - 48 UR - https://doi.org/10.1016/j.nonrwa.2019.01.020 DO - 10.1016/j.nonrwa.2019.01.020 ID - Liu2019 ER - TY - JOUR AU - Ye, H. AU - Yin, J. PY - 2015 DA - 2015// TI - Propagation profile for a non-Newtonian polytropic filtration equation with orientated convection JO - J. Math. Anal. Appl. VL - 421 UR - https://doi.org/10.1016/j.jmaa.2014.07.077 DO - 10.1016/j.jmaa.2014.07.077 ID - Ye2015 ER - TY - JOUR AU - Al-Bayati, S. A. AU - Worbel, L. C. PY - 2019 DA - 2019// TI - Radial integration boundary element method for two-dimensional non-homogeneous convection–diffusion–reaction problems with variable source term JO - Eng. Anal. Bound. Elem. VL - 101 UR - https://doi.org/10.1016/j.enganabound.2018.12.005 DO - 10.1016/j.enganabound.2018.12.005 ID - Al-Bayati2019 ER - TY - JOUR AU - Marcellini, P. PY - 2020 DA - 2020// TI - A variational approach to parabolic equations under general and p,q$p,q$-growth conditions JO - Nonlinear Anal. VL - 194 UR - https://doi.org/10.1016/j.na.2019.02.010 DO - 10.1016/j.na.2019.02.010 ID - Marcellini2020 ER - TY - JOUR AU - Zeng, S. AU - Gasiński, L. AU - Winkert, P. AU - Bai, Y. PY - 2020 DA - 2020// TI - Existence of solutions for double phase obstacle problems with multivalued convection term JO - J. Math. Anal. Appl. UR - https://doi.org/10.1016/j.jmaa.2020.123997 DO - 10.1016/j.jmaa.2020.123997 ID - Zeng2020 ER - TY - JOUR AU - Zhan, H. AU - Feng, F. PY - 2017 DA - 2017// TI - Solutions of evolutionary p(x)$p(x)$-Laplacian equation based on the weighted variable exponent space JO - Z. Angew. Math. Phys. VL - 68 UR - https://doi.org/10.1007/s00033-017-0885-6 DO - 10.1007/s00033-017-0885-6 ID - Zhan2017 ER - TY - JOUR AU - Zhan, H. AU - Feng, Z. PY - 2019 DA - 2019// TI - Solutions of evolutionary equation based on the anisotropic variable exponent Sobolev space JO - Z. Angew. Math. Phys. VL - 70 UR - https://doi.org/10.1007/s00033-019-1150-y DO - 10.1007/s00033-019-1150-y ID - Zhan2019 ER - TY - JOUR AU - Zhan, H. PY - 2018 DA - 2018// TI - The weak solutions of an evolutionary p(x)$p(x)$-Laplacian equation are controlled by the initial value JO - Comput. Math. Appl. VL - 76 UR - https://doi.org/10.1016/j.camwa.2018.08.026 DO - 10.1016/j.camwa.2018.08.026 ID - Zhan2018 ER - TY - JOUR AU - Zhan, H. PY - 2017 DA - 2017// TI - A new kind of the solutions of a convection–diffusion equation related to the p(x)$p(x)$-Laplacian JO - Bound. Value Probl. VL - 2017 UR - https://doi.org/10.1186/s13661-017-0848-z DO - 10.1186/s13661-017-0848-z ID - Zhan2017 ER - TY - JOUR AU - Zhan, H. AU - Wen, J. PY - 2016 DA - 2016// TI - Evolutionary p(x)$p(x)$-Laplacian equation free from the limitation of the boundary value JO - Electron. J. Differ. Equ. VL - 2016 UR - https://doi.org/10.1186/s13662-016-0862-y DO - 10.1186/s13662-016-0862-y ID - Zhan2016 ER - TY - JOUR AU - Zhan, H. AU - Feng, Z. PY - 2019 DA - 2019// TI - Partial boundary value condition for a nonlinear degenerate parabolic equation JO - J. Differ. Equ. VL - 267 UR - https://doi.org/10.1016/j.jde.2019.03.032 DO - 10.1016/j.jde.2019.03.032 ID - Zhan2019 ER - TY - JOUR AU - Xu, R. Z. AU - Su, J. PY - 2013 DA - 2013// TI - Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations JO - J. Funct. Anal. VL - 264 UR - https://doi.org/10.1016/j.jfa.2013.03.010 DO - 10.1016/j.jfa.2013.03.010 ID - Xu2013 ER - TY - JOUR AU - Chen, H. AU - Tian, S. PY - 2015 DA - 2015// TI - Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity JO - J. Differ. Equ. VL - 258 UR - https://doi.org/10.1016/j.jde.2015.01.038 DO - 10.1016/j.jde.2015.01.038 ID - Chen2015 ER - TY - JOUR AU - Cao, Y. AU - Wang, Z. AU - Yin, J. PY - 2019 DA - 2019// TI - A semilinear pseudo-parabolic equation with initial data non-rarefied at ∞ JO - J. Funct. Anal. VL - 277 UR - https://doi.org/10.1016/j.jfa.2019.05.014 DO - 10.1016/j.jfa.2019.05.014 ID - Cao2019 ER - TY - BOOK AU - Rădulescu, V. D. AU - Repovš, D. D. PY - 2015 DA - 2015// TI - Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis PB - CRC Press CY - Boca Raton UR - https://doi.org/10.1201/b18601 DO - 10.1201/b18601 ID - Rădulescu2015 ER - TY - JOUR AU - Giacomoni, J. AU - Rădulescu, V. D. AU - Warnault, G. PY - 2018 DA - 2018// TI - Quasilinear parabolic problem with variable exponent: qualitative analysis and stabilization JO - Commun. Contemp. Math. VL - 20 UR - https://doi.org/10.1142/S0219199717500651 DO - 10.1142/S0219199717500651 ID - Giacomoni2018 ER - TY - JOUR AU - Afrouzi, G. A. AU - Mirzapour, M. AU - Rădulescu, V. D. PY - 2016 DA - 2016// TI - Qualitative analysis of solutions for a class of anisotropic elliptic equations with variable exponent JO - Proc. Edinb. Math. Soc. VL - 59 UR - https://doi.org/10.1017/S0013091515000346 DO - 10.1017/S0013091515000346 ID - Afrouzi2016 ER - TY - JOUR AU - Saiedinezhad, S. AU - Rădulescu, V. D. PY - 2016 DA - 2016// TI - Multiplicity results for a nonlinear Robin problem with variable exponent JO - J. Nonlinear Convex Anal. VL - 17 ID - Saiedinezhad2016 ER - TY - JOUR AU - Mihăilescu, M. AU - Rădulescu, V. D. AU - Tersian, S. PY - 2011 DA - 2011// TI - Homoclinic solutions of difference equations with variable exponents JO - Topol. Methods Nonlinear Anal. VL - 38 ID - Mihăilescu2011 ER - TY - JOUR AU - Chen, C. AU - Wang, R. PY - 2001 DA - 2001// TI - Global existence and L∞$L^{\infty}$ estimates of solution for doubly degenerate parabolic equation JO - Acta Math. Sin. VL - 44 ID - Chen2001 ER - TY - BOOK AU - Wu, Z. AU - Zhao, J. AU - Yin, J. AU - Li, H. PY - 2001 DA - 2001// TI - Nonlinear Diffusion Equations PB - Word Scientific CY - Singapore UR - https://doi.org/10.1142/4782 DO - 10.1142/4782 ID - Wu2001 ER - TY - JOUR AU - Fan, X. L. AU - Zhao, D. PY - 2001 DA - 2001// TI - On the spaces Lp(x)(Ω)${L^{p(x)}(\varOmega)}$ and Wm,p(x)${W^{m,p(x)}}$ JO - J. Math. Anal. Appl. VL - 263 UR - https://doi.org/10.1006/jmaa.2000.7617 DO - 10.1006/jmaa.2000.7617 ID - Fan2001 ER - TY - JOUR AU - Kovácik, O. AU - Rákosník, J. PY - 1991 DA - 1991// TI - On spaces Lp(x)${L^{p(x)}}$ and Wk,p(x)${W^{k,p(x)}}$ JO - Czechoslov. Math. J. VL - 41 ID - Kovácik1991 ER -