논문KCI 등재
Multiple Existence of Positive Global Solutions for Parameterized Nonhomogeneous Elliptic Equations Involving Critical Exponents
1
조회
0
다운로드
1
인용
0
참고문헌
키워드
주제분류수학
초록
We establish multiple extence of positive solutions for parameterized nonhomogeneous elliptic equations involving critical Sobolev exponent. The approach to the problem is variational method.
Abstract
We establish multiple extence of positive solutions for parameterized nonhomogeneous elliptic equations involving critical Sobolev exponent. The approach to the problem is variational method.
참고문헌 (22)
- A. Ambrosetti, "Dual variational methods in critical point theory and applications", J. Funt. Anal., 14, pp.349~381 (1973)
- S. Bae, "Positive global solutions of inhomogenuous semilinear elliptic equations with critical sobolev exponent", ~
- H. Brezis, "A relation between pointwise convergence of functionals and convergence of functions", Proc. Amer. Soc., 88, pp.486~490 (1983)
- H. Brezis, "Positive solutions of nonlinear elliptic equations involving critical Sobolev exponent", Comm. Pure Appl. Math., 36, pp.437~427 (1983)
- D.-M. Cao, "Positive solutions and bifurcation from the essential spectrum of a semilinear elliptic equations on RN", Nonlinear Anal. T.M.A., 15, pp.1048~1052 (1990)
- Y. Deng, "Existence and bifurcation of positive solutions for a semilinear elliptic equation with critical exponent", J. Di. Equa., 130, pp.179~200 (1996)
- Y. Deng, "Existence of multiple positive solutions for a semilinear elliptic equation", Adv. Dierential Equations, 2, pp.361~382 (1997)
- W.-Y. Ding, "On the existence of positive solutions for a semilinear elliptic equation", Archs Ration Mech. Analysis, 91, pp.283~307 (1986)
- L. Ekeland, "Convex minimization problem", Bull. Amer. Math. Soc., 1, pp.443~474 (1976)
- L. Caarely, "Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth", Comm. Pure Appl. Math, 42, pp.271~1191 (1986)
- N. Hirano, "Existence of entire positive solutions for nonhomogeneous elliptic equations", Nonlinear Analysis. T.M.A., 29(8), pp.889~901 (1997)
- N. Hirano, "Multiple existence of solutions for a nonhomogeneous elliptic problems on RN", J. Math. Anal. Appl., 336, pp.506~522 (2007)
- N. Hirano, "Multiple existence of solutions for a nonhomogeneous elliptic problem with critical exponent on RN", J. Di. Equa, 249, pp.1799~1816 (2010)
- N. Hirano, "Multiple existence of solutions for a nonhomogeneous elliptic problem on RN", Nonlinear Analysis. T.M.A., 74, pp.4369~4378 (2011)
- M. K. Kwong, "Uniqueness of positive solution of u u + up = 0 in RN", Arch. Retional Mech. Anal, 105(3), pp.243~266 (1989)
- P.L. Lions, "The concentration-compactness principle in the calculus of variations, the locally compact case. part 1", Ann. Inst. H. Poincare Analyse non Lineaire, 1(2), pp.109~145 (1984)
- P.L. Lions, "The concentration-compactness principle in the calculus of variations, the locally compact case. part 2", Ann. Inst. H. Poincare Analyse non Lineaire, 1(4), pp.223~283 (1984)
- W.A. Strauss, "Existence of solatary waves in higher dimensions", Communs. Math. Phys., 55, pp.149~162 (1977)
- M. Willem, "Minimax theorems" (1996), Birkhauser
- X.-P. Zhu, "Multiple entire solutions of a semilinear elliptic equation", Nonlinear analysis T.M.A., 12(11), pp.1297~1316 (1988)
- X.-P. Zhu, "A perturbation result on positive entire solutions of a semilinear elliptic equation", J. Di. Equa, 92, pp.163~178 (1991)
- X.-P. Zhu, "Existence of multiple positive solutions of inhomogeneous semilinear elliptic problems in unbounded domain", Proc. Roy. Soc. Edinburgh, 115 A, pp.301~318 (1990)
관련 논문AI추천
Parametrized Perturbation Results on Global Positive Solutions for Elliptic Equations Involving Critical Sobolev-Hardy Exponents and Hardy Terems김완세영남수학회 · East Asian Mathematical Journal2018 · 제34권 제5호Multiple existence of solutions for a nonhomogeneous ellpitic problems on $R^N$김완세, Norimichi Hirano영남수학회 · East Asian Mathematical Journal2018 · 제34권 제5호MULTIPLE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS WITH CRITICAL GROWTHYoujun Wang대한수학회 · 대한수학회지2011 · 제48권 제6호Multiplicity result of the solutions for a class of the elliptic systems with subcritical Sobolev exponents정택선, 최규흥강원경기수학회 · 한국수학논문집2015 · 제23권 제4호Positive solutions to p-Kirchhoff-type elliptic equation with general subcritical growthHuixing Zhang, Ran Zhang대한수학회 · 대한수학회보2017 · 제54권 제3호Multiplicity results for some fourth order elliptic equations최규흥, Yinghua Jin강원경기수학회 · 한국수학논문집2010 · 제18권 제4호
이 간행물의 다른 논문 (12건)
Energy Decay Rates for the Kirchhoff Type Wave Equation with Balakrishnan-Taylor Damping and Acoustic Boundary강용한pp. 249-258On Generalized Triangular Matrix Rings박준원, 천장호pp. 259-270The Hyers-Ulam Stability of Cubic Functrional Equations in Fuzzy Banach Spaces김창일, 윤용식pp. 271-281Certain Fractional Integral Inequalities Involving Hypergeometric Operators최준상, Praveen Agarwalpp. 283-291Revisit to Connected Alexander Quandles of Small Orders via Fixed Point Free Automorphisms of Finite Abelian Groups심효섭, 송현종pp. 293-302
