On a class of singularly perturbed elliptic equations in divergence form: existence and multiplicity results

نویسنده

  • A. Pomponio
چکیده

where N ≥ 3, p ∈ ( 1, N+2 N−2 ) , V : R → R, J : R → RN×N are C functions. Here the symbol RN×N stands for the set of (N ×N) real matrices. Such a problem, at least in the case J ≡ I, where I is the identity matrix in RN×N , arises naturally when seeking standing waves of the nonlinear ∗Supported by MIUR, national project Variational methods and nonlinear differential equations †Supported by MIUR, national project Variational methods and nonlinear differential equations

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تاریخ انتشار 2003