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Multiplicity results for some fourth order elliptic equations
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In this paper we consider the Dirichlet problem for an fourth order elliptic equation on a open set in RN. By using variational methods we obtain the multiplicity of nontrivial weak solutions for the fourth order elliptic equation.
Abstract
In this paper we consider the Dirichlet problem for an fourth order elliptic equation on a open set in RN. By using variational methods we obtain the multiplicity of nontrivial weak solutions for the fourth order elliptic equation.
참고문헌 (10)
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관련 논문AI추천
Existence and multiplicity results for some fourth order semilinear elliptic problems김영화, Xuechun Wang강원경기수학회 · 한국수학논문집2009 · 제17권 제4호MULTIPLE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS WITH CRITICAL GROWTHYoujun Wang대한수학회 · 대한수학회지2011 · 제48권 제6호Multiple existence of solutions for a nonhomogeneous ellpitic problems on $R^N$김완세, Norimichi Hirano영남수학회 · East Asian Mathematical Journal2018 · 제34권 제5호An application of linking theorem to fourth order elliptic boundary value problem with fully nonlinear term정택선, 최규흥강원경기수학회 · 한국수학논문집2014 · 제22권 제2호Existence of nontrivial solutions of a nonlinear biharmonic equation김영화, 최규흥, Xuechun Wang강원경기수학회 · 한국수학논문집2009 · 제17권 제4호EXISTENCE OF INFINITELY MANY SOLUTIONS OF THE NONLINEAR HIGHER ORDER ELLIPTIC EQUATION정택선, 최규흥강원경기수학회 · 한국수학논문집2008 · 제16권 제3호
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