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- W1993485643 abstract "This paper deals with conditions for the existence of solutions of the equations $$ - sumlimits_{i = 1}^n {D_i A_i } (x,u,Du) + A_0 (x,u) = f(x), x in mathbb{R}^n ,$$ considered in the whole space ℝn, n ≥ 2. The functions A i (x, u, ξ), i = 1,…, n, A 0(x, u), and f(x) can arbitrarily grow as |x| → ∞. These functions satisfy generalized conditions of the monotone operator theory in the arguments u ∈ ℝ and ξ ∈ ℝn. We prove the existence theorem for a solution u ∈ W loc 1, (ℝn) under the condition p > n." @default.
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- W1993485643 date "2008-05-01" @default.
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- W1993485643 title "Existence of solutions of certain quasilinear elliptic equations in ℝN without conditions at infinity" @default.
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- W1993485643 doi "https://doi.org/10.1007/s10958-008-0137-6" @default.
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