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An application of linking theorem to fourth order elliptic boundary value problem with fully nonlinear term
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We show the existence of nontrivial solutions for some fourth order elliptic boundary value problem with fully nonlinear term. We obtain this result by approaching the variational method and using a linking theorem. We also get a uniqueness result.
Abstract
We show the existence of nontrivial solutions for some fourth order elliptic boundary value problem with fully nonlinear term. We obtain this result by approaching the variational method and using a linking theorem. We also get a uniqueness result.
참고문헌 (11)
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관련 논문AI추천
The Semilinear Biharmonic Problem with Fully Nonlinear Term정택선, 최규흥장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제2호Existence of nontrivial solutions of a nonlinear biharmonic equation김영화, 최규흥, Xuechun Wang강원경기수학회 · 한국수학논문집2009 · 제17권 제4호Existence and multiplicity results for some fourth order semilinear elliptic problems김영화, Xuechun Wang강원경기수학회 · 한국수학논문집2009 · 제17권 제4호Fourth order elliptic boundary value problem with square growth nonlinearity정택선, 최규흥강원경기수학회 · 한국수학논문집2010 · 제18권 제3호At least two solutions for the semilinear biharmonic boundary value problem정택선, 최규흥강원경기수학회 · 한국수학논문집2014 · 제22권 제4호Applications of topolological methods to the semilinear biharmonic problem with different powers정택선, 최규흥강원경기수학회 · 한국수학논문집2017 · 제25권 제3호
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