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• W2509898324 abstract "Most of the times, in problems where the p(x)-Laplacian is involved, the variable exponent p(⋅ ) is assumed to be bounded. The main reason for this is to be able to apply standard variational methods. The aim of this paper is to present the work that has been done so far, in problems where the variable exponent p(⋅ ) equals infinity in some part of the domain. In this case the infinity Laplace operator arises naturally and the notion of weak solution does not apply in the part where p(⋅ ) becomes infinite. Thus the notion of viscosity solution enters into the picture. We study both the Dirichlet and the Neumann case." @default.
• W2509898324 created "2016-09-16" @default.
• W2509898324 creator A5070344395 @default.
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• W2509898324 date "2016-01-01" @default.
• W2509898324 modified "2023-09-27" @default.
• W2509898324 title "A Tour on p(x)-Laplacian Problems When p = ∞" @default.
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• W2509898324 doi "https://doi.org/10.1007/978-3-319-31281-1_15" @default.
• W2509898324 hasPublicationYear "2016" @default.
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