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degenerate anisotropic sobolev spaces

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

Qualitative Analysis of Solutions for a Class of Anisotropic Elliptic Equations with Variable Exponent
Part of
- Elliptic equations and systems
- Linear function spaces and their duals
G. A. Afrouzi, M. Mirzapour, Vicenţiu D. Rădulescu
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 59 / Issue 3 / August 2016

Published online by Cambridge University Press:

15 December 2015, pp. 541-557
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We are concerned with the degenerate anisotropic problem

We first establish the existence of an unbounded sequence of weak solutions. We also obtain the existence of a non-trivial weak solution if the nonlinear term f has a special form. The proofs rely on the fountain theorem and Ekeland's variational principle.