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Existence of solutions for elliptic system with nonlinearities under the Dirichlet boundary condition

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By linking theorem, we prove the existence of non-trivial solutions for the elliptic system with jumping nonlinearity and growth nonlinearity and Dirichlet boundary condition.

Abstract

By linking theorem, we prove the existence of non-trivial solutions for the elliptic system with jumping nonlinearity and growth nonlinearity and Dirichlet boundary condition.

참고문헌 (9)

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  5. 남혜원, "MULTIPLICITY RESULTS FOR THE ELLIPTIC SYSTEM USING THE MINIMAX THEOREM", 한국수학논문집, 16(4), pp.511~526 (2008), 강원경기수학회
  6. Jin Yinghua, "Nontrivial solutions of nonlinear elliptic equations and elliptic systems" (2004), Inha U
  7. 정택선, "Multiple solutions result for the mixed type nonlinear elliptic problem", 한국수학논문집, 19(4), pp.423~436 (2011), 강원경기수학회
  8. Yukun An, "Mountain pass solutions for the coupled systems of second and fourth order elliptic equations", Nonlinear Anal, 63, pp.1034~1041 (2005)
  9. Zou, "Multiple solutions for asymptotically linear elliptic systems", J. Math. Anal. Appl, 255(1), pp.213~229 (2001)

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