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INFINITELY MANY SOLUTIONS FOR A CLASS OF THE ELLIPTIC SYSTEMS WITH EVEN FUNCTIONALS

정택선|최규흥
대한수학회 (The Korean Mathematical Society)|2017.05|대한수학회지 (Journal of the KMS)|제54권 제3호|pp. 821-833

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참고문헌

키워드

critical point theoryvariational methodinvariant functionalelliptic systemdeformation lemma$(P.S.)^{*}$ conditionsubcritical Sobolev exponentsinvariant subspaces
주제분류수학

초록

We get a result that shows the existence of infinitely many solutions for a class of the elliptic systems involving subcritical Sobolev exponents nonlinear terms with even functionals on the bounded domain with smooth boundary. We get this result by variational method and critical point theory induced from invariant subspaces and invariant functional.

Abstract

We get a result that shows the existence of infinitely many solutions for a class of the elliptic systems involving subcritical Sobolev exponents nonlinear terms with even functionals on the bounded domain with smooth boundary. We get this result by variational method and critical point theory induced from invariant subspaces and invariant functional.

참고문헌 (3)

  1. K. C. Chang, "Infinite dimensional Morse theory and multiple solution problems" (1993), Birkhauser
  2. M. Ghergu, "Singular Elliptic Problems Bifurcation and Asymptotic Analysis" (2008), Clarendon Press
  3. P. H. Rabinowitz, "Minimax methods in critical point theory with applications to differ-ential equations" (1986), American Mathematical Society

관련 논문AI추천

A weak solution for a class of the elliptic systems with even functional정택선, 최규흥장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호Multiplicity result of the solutions for a class of the elliptic systems with subcritical Sobolev exponents정택선, 최규흥강원경기수학회 · 한국수학논문집2015 · 제23권 제4호Boundary value problem for a class of the systems of the nonlinear elliptic equations정택선, 최규흥강원경기수학회 · 한국수학논문집2009 · 제17권 제1호SOLVABILITY FOR A CLASS OF THE SYSTEMS OF THE NONLINEAR ELLIPTIC EQUATIONS정택선, 최규흥대한수학회 · 대한수학회보2012 · 제49권 제1호Existence of the solutions for the singular potential elliptic system정택선, 최규흥강원경기수학회 · 한국수학논문집2012 · 제20권 제1호Multiplicity of solutions of elliptic system using two critical point theorem남혜원강원경기수학회 · 한국수학논문집2017 · 제25권 제4호

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