Eigenvalue Problems of Ouasilinear Elliptic Systems on Rn.

• Autores: Li Gongbao
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 3, Nº 3-4, 1987, págs. 371-401
• Idioma: inglés
• Títulos paralelos:
  • Problemas de autovalores de sistemas elípticos cuasilineales en Rn.
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• Resumen

  • In this paper we get the existence results of the nontrivial weak solution (?,u) of the following eigenvalue problem of quasilinear elliptic systems -Da (aaß(x,u) Dßui) + 1/2 Dui aaß(x,u)Dauj Dßuj + h(x) ui = ?|u|p-2ui, for x Î Rn, 1 = i = N and u = (u1, u2, ..., uN) Î E = {v = (v1, v2, ..., vN) | vi Î H1(Rn), 1 = i = N}, where aaß(x,u) satisfy the natural growth conditions. It seems that this kind of problem has never been dealt with before