Existence of Solutions of Anisotropic Elliptic Equations with Variable Exponents in Unbounded Domains
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We consider a class of anisotropic elliptic differential equations of second order with divergent form and variable exponents. The corresponding elliptic operators are pseudo-monotone and coercive. We obtain solvability conditions for the Dirichlet problem in unbounded domains Ω ⊂ ℝ n , n ≥ 2. The proof of existence of solutions is free of restrictions on growth of data for |x| → ∞.
Keywords and phrasesanisotropic elliptic equation existence solution variable exponent Dirichlet problem pseudomonotone operator
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