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- W2802243604 abstract "Abstract We are concerned with the existence of positive weak solutions, as well as the existence of bound states (i.e. solutions in W 1, p (ℝ N )), for quasilinear scalar field equations of the form $$ - Delta _pu + V(x) vert u vert ^{p - 2}u = K(x) vert u vert ^{q - 2}u + vert u vert ^{p^ * - 2}u,qquad x in {open R}^N,$$ where Δ p u : = div (|∇ u | p −2 ∇ u ), 1 < p < N , p *: = Np /( N − p ) is the critical Sobolev exponent, q ∈ ( p, p *), while V (·) and K (·) are non-negative continuous potentials that may decay to zero as | x | → ∞ but are free from any integrability or symmetry assumptions." @default.
- W2802243604 created "2018-05-17" @default.
- W2802243604 creator A5090367191 @default.
- W2802243604 date "2018-04-30" @default.
- W2802243604 modified "2023-10-09" @default.
- W2802243604 title "Quasilinear Scalar Field Equations Involving Critical Sobolev Exponents and Potentials Vanishing at Infinity" @default.
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- W2802243604 doi "https://doi.org/10.1017/s0013091517000360" @default.
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