Infinitely many solutions for elliptic problems with variable exponent and nonlinear boundary conditions

Author:

Boureanu Maria-Magdalena,Preda Felician

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference30 articles.

1. Acerbi E., Mingione G.: Gradient estimates for the p(x)-Laplacean system. J. Reine Angew. Math. 584, 117–148 (2005)

2. Alves, C.O., and Souto, M.A.: Existence of solutions for a class of problems in $${{\mathbb R}^N}$$ involving the p(x)-Laplacian, contributions to nonlinear analysis, a tribute to D.G. de Figueiredo on the occasion of his 70th birthday. In: Cazenave, T., Costa, D., Lopes, O., Manàsevich, R., Rabinowitz, P., Ruf, B., Tomei, C. (eds.) Series: progress in nonlinear differential equations and their applications, vol. 66, pp. 17–32. Birkhäuser, Basel (2006)

3. Boureanu, M.-M.: Infinitely many solutions for a class of degenerate anisotropic elliptic problems with variable exponent. Taiwanese J. Math. (accepted)

4. Chabrowski J., Fu Y.: Existence of solutions for p(x)-Laplacian problems on a bounded domain. J. Math. Anal. Appl. 306, 604–618 (2005)

5. Chen Y., Levine S., Rao R.: Variable exponent, linear growth functionals in image restoration. SIAM J Appl Math. 66, 1383–1406 (2006)

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