Solutions to a perturbed critical semilinear equation concerning the N-Laplacian in RN

نویسنده

  • Elliot Tonkes
چکیده

Ω |∇u| N ) 1 N . The dual space is denoted W−1,N ′ , where N ′ is the Hölder conjugate of N , and has the associated norm ‖ · ‖∗. Denote strong convergence by “→”, weak convergence by “⇀” and convergence in the sense of measure (or distributions) as “⇀∗”. Unless otherwise denoted, integration is performed over the domain Ω. Specific constraints on e(x, u) and h(x) are described later, but we now present the main results:

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تاریخ انتشار 2010