Existence of a positive infimum eigenvalue for the p(x)-Laplacian Neumann problems with weighted functions

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참고문헌 (11)

1. N. Benouhiba, "On the eigenvalues of weighted p(x)-Laplacian on RNRN", Nonlinear Anal, 74, pp.235~243 (2011)
2. L. Diening, "Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spaces Lp(⋅)Lp(⋅) and Wk,p(⋅)Wk,p(⋅)", Math. Nachr, 268, pp.31~43 (2004)
3. X.L. Fan, "On the spaces Lp(x)(Ω)Lp(x)(Ω) and Wm,p(x)(Ω)Wm,p(x)(Ω)", J. Math. Anal. Appl, 263, pp.424~446 (2001)
4. X.L. Fan, "Existence of solutions for p(x)-Laplacian Dirichlet problem", Nonlinear Anal, 52, pp.1843~1852 (2003)
5. X.L. Fan, "Eigenvalues of p(x)-Laplacian Dirichlet problem", J. Math. Anal. Appl, 302, pp.306~317 (2005)
6. X.L. Fan, "Eigenvalues of the p(x)-Laplacian Neumann problems", Nonlinear Anal, 67, pp.2982~2992 (2007)
7. H. Galewski, "On the continuity of the Nemyskij operator between the spaces Lp1(x)Lp1(x) and Lp2(x)Lp2(x)", Georgian Math. Journal, 13, pp.261~265 (2006)
8. Y.-H. Kim, "Global bifurcation for a class of degenerate elliptic equations with variable exponents", J. Math. Anal. Appl, 371, pp.624~637 (2010)
9. M. Struwe, "Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems" (1996), Springer
10. I. Sim, "Existence of solutions and positivity of the infimum eigenvalue for degenerate elliptic equations with variable exponents", Discrete and Continuous Dynamical Systems, (Supplement), pp.695~707 (2013)
11. A. Szulkin, "Eigenvalue problem with indefinite weight", Studia Math, 135, pp.191~201 (1995)

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