논문KCI 등재
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)
- A. Ambrosetti, "On the inversion of some differential mappings with singularities between Banach spaces", Ann. Mat. Pura. Appl, 93, pp.231~246 (1972)
- 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)
- 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)
- Rabinowitz, P. H., "Minimax methods in critical point theory with applications to differential equations", CBMS. Regional conf. Ser. Math., 65, Amer. Math. Soc (1986)
관련 논문AI추천
INFINITELY MANY SOLUTIONS FOR A CLASS OF THE ELLIPTIC SYSTEMS WITH EVEN FUNCTIONALS정택선, 최규흥대한수학회 · 대한수학회지2017 · 제54권 제3호Weak solution for a class of the square growth nonlinear elliptic systems정택선, 최규흥장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제3호Multiplicity result of the solutions for a class of the elliptic systems with subcritical Sobolev exponents정택선, 최규흥강원경기수학회 · 한국수학논문집2015 · 제23권 제4호Existence of the solutions for the singular potential elliptic system정택선, 최규흥강원경기수학회 · 한국수학논문집2012 · 제20권 제1호SOLVABILITY FOR A CLASS OF THE SYSTEMS OF THE NONLINEAR ELLIPTIC EQUATIONS정택선, 최규흥대한수학회 · 대한수학회보2012 · 제49권 제1호On a class of semilinear elliptic systems involving Grushin type operatorNguyen Thanh Chung대한수학회 · 대한수학회논문집2014 · 제29권 제1호
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