Compact Imbedding Theorems with Symmetry of Strauss–Lions Type for the Space W1, p(x)(Ω)

By Xianling Fan, Yuanzhang Zhao, Dun Zhao. 2001

134 citations recorded by the source corpus.

Abstract In this paper, we extend some compact imbedding theorems of Strauss–Lions type to the space W 1,  p ( x ) (Ω) when the domain has some symmetric properties and p ( x ) satisfies some conditions.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/4e265694abee1ccfd90dc5def5b5270ef1479958

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In Applied Mathematics

1. M. Alessandra Ragusa
2. Patrick Winkert
3. Ky Ho

Citations in the corpus

• Lebesgue points in variable exponent spaces. (2004, unknown): “[7], [8], [9], [10], [13], [14], [15], [19], [26].”
• Existence Results for Double Phase Problem in Sobolev–Orlicz Spaces with Variable Exponents in Complete Manifold (2021, background): “[11] ( Poincaré inequality ) If q ∈ C+(Ω), then there is a constant c > 0 such that ||u ||q(x) ≤ c || | ∇u | ||q(x), ∀u ∈W 1, q(x) 0 (Ω).”