Existence of solutions for p(x)-Laplacian Dirichlet problem

Chang, 1986

Fan, 1996, The regularity of Lagrangians f(x,ξ )=|ξ |α(x) with Hölder exponents α (x), Acta Math. Sinica, New Ser., 12, 254, 10.1007/BF02106979

Fan, 1996, Regularity of nonstandard Lagrangians f(x,ξ ), Nonlinear Anal., 27, 669, 10.1016/0362-546X(95)00069-8

Fan, 1996, Regularity of minimizers of variational integrals with continuous p(x)-growth conditions, Chinese Ann. Math., 17A, 557

Fan, 1998, On the generalized Orlicz-Sobolev space Wk,p(x)(Ω ), J. Gansu Educ. College, 12, 1

Fan, 1999, A class of De Giorgi type and Hölder continuity, Nonlinear Anal., 36, 295, 10.1016/S0362-546X(97)00628-7

Fan, 2000, The quasi-minimizer of integral functionals with m(x) growth conditions, Nonlinear Anal., 39, 807, 10.1016/S0362-546X(98)00239-9

Kichenassamy, 1985, Singular solutions of the p-Laplace equation, Math. Ann., 275, 599, 10.1007/BF01459140

Marcelini, 1991, Regularity and existence of solutions of elliptic equations with (p,q)-growth conditions, 90, 1

Musielak, 1983, Orlicz Spaces and Modular Spaces, Vol. 1034

Natanson, 1950

Thelin, 1982, Local regularity properties for the solutions of a nonlinear partial differential equation, Nonlinear Anal., 6, 839, 10.1016/0362-546X(82)90068-2

Willem, 1996

Zeider, 1990

Zhao, 1998, On the Nemytsky operators from Lp1(x)(Ω ) to Lp2(x)(Ω ), J. Lanzhou Univ., 34, 1

Zhao, 1996, On generalized Orlicz spaces Lp(x)(Ω ), J. Gansu Sci., 9, 1

Zhikov, 1987, Averaging of functionals of the calculus of variations and elasticity theory, Math. USSR Izv., 29, 33, 10.1070/IM1987v029n01ABEH000958

Zhikov, 1992, On pass to the limit in nonlinear variational problems, Mat. Sbornik, 183, 47

Zhong, 1998