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A weak solution for a class of the elliptic systems with even functional

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We get one result which shows the existence of at least one weak solution for a class of the elliptic systems involving subcritical Sobolev exponents nonlinear term with even functional on the bounded domain with smooth boundary. We get this result by variational method and critical point theory.

Abstract

We get one result which shows the existence of at least one weak solution for a class of the elliptic systems involving subcritical Sobolev exponents nonlinear term with even functional on the bounded domain with smooth boundary. We get this result by variational method and critical point theory.

참고문헌 (4)

  1. A. Ambrosetti, "On the inversion of some differential mappings with singularities between Banach spaces", Ann. Mat. Pura. Appl, 93, pp.231~246 (1972)
  2. D. G. de Figueiredo, "Lectures on boundary value problems of the Ambrosetti-Prodi type", Semin´ario Brasileiro de An´alise, 12, pp.232~292 (1980)
  3. D. C. de Morais Filho, "A Variational approach to an Ambrosetti-Prodi type problem for a system of elliptic equations", Nonlinear Analysis, TMA, 26(10), pp.1655~1668 (1996)
  4. Rabinowitz, P. H., "Minimax methods in critical point theory with applications to differential equations", CBMS. Regional conf. Ser. Math., 65, Amer. Math. Soc (1986)

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