지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
이용수
초록· 키워드
오류제보하기
This paper deals with the existence and energy estimates of solutions for a class of degenerate nonlocal problems involving sub-linear nonlinearities, while the nonlinear part of the problem admits some hypotheses on the behavior at origin or perturbation property. In particular, for a precise localization of the parameter, the existence of a non-zero solution is established requiring the sublinearity of nonlinear part at origin and infinity. We also consider the existence of solutions for our problem under algebraic conditions with the classical Ambrosetti-Rabinowitz. In what follows, by combining two algebraic conditions on the nonlinear term which guarantees the existence of two solutions as well as applying the mountain pass theorem given by Pucci and Serrin, we establish the existence of the third solution for our problem. Moreover, concrete examples of applications are provided.
목차
등록된 정보가 없습니다.
참고문헌 (43)
참고문헌 신청
C.O. Alves / 2005 / Positive solutions for a quasilinear elliptic equation of Kirchhoff type / Comput. Math. Appl 49(1):85~93
A. Ambrosetti / 1973 / Dual variational methods in critical point theory and applications / J. Funct. Anal 14(4):349~381
A. Arosio / 1996 / On the well-posedness of the Kirchhoff string / Trans. Amer. Math. Soc 348(1):305~330
G. Autuori / 2012 / Blow up at infinity of solutions of polyharmonic Kirchhoff systems / Complex Var. Elliptic Equ 57(2-4):379~395
G. Autuori / 2012 / Lifespan estimates for solutions of polyharmonic Kirchhoff systems / Math. Models Methods Appl. Sci 22(2):36
A. Ambrosetti / 1973 / Dual variational methods in critical point theory and applications / J. Funct. Anal 14(4):349~381
A. Arosio / 1996 / On the well-posedness of the Kirchhoff string / Trans. Amer. Math. Soc 348(1):305~330
G. Autuori / 2012 / Blow up at infinity of solutions of polyharmonic Kirchhoff systems / Complex Var. Elliptic Equ 57(2-4):379~395
G. Autuori / 2012 / Lifespan estimates for solutions of polyharmonic Kirchhoff systems / Math. Models Methods Appl. Sci 22(2):36
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
EXISTENCE AND MULTIPLICITY OF WEAK SOLUTIONS FOR SOME p(x)-LAPLACIAN-LIKE PROBLEMS VIA VARIATIONAL METHODS
Journal of applied mathematics & informatics
2017 .01
-
Long-time behavior of solutions to a nonlocal quasilinear parabolic equation
대한수학회논문집
2019 .01
-
EXISTENCE THEOREMS OF BOUNDARY VALUE PROBLEMS FOR FOURTH ORDER NONLINEAR DISCRETE SYSTEMS
Journal of applied mathematics & informatics
2019 .01
-
EXISTENCE OF THREE POSITIVE SOLUTIONS OF A CLASS OF BVPS FOR SINGULAR SECOND ORDER DIFFERENTIAL SYSTEMS ON THE WHOLE LINE
대한수학회지
2017 .01
-
EXISTENCE OF PERIODIC SOLUTIONS WITH PRESCRIBED MINIMAL PERIOD FOR A FOURTH ORDER NONLINEAR DIFFERENCE SYSTEM
Journal of applied mathematics & informatics
2018 .01
-
Global attractors for nonlocal parabolic equations with a new class of nonlinearities
대한수학회지
2018 .01
-
Existence and Behavior Results for a Nonlocal Nonlinear Parabolic Equation with Variable Exponent
Kyungpook Mathematical Journal
2020 .01
-
EXISTENCE OF THREE SOLUTIONS OF NON-HOMOGENEOUS BVPS FOR SINGULAR DIFFERENTIAL SYSTEMS WITH LAPLACIAN OPERATORS
충청수학회지
2016 .01
-
Existence of transcendental meromorphic solutions on some types of nonlinear differential equations
대한수학회보
2020 .01
-
EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS TO NONLOCAL BOUNDARY VALUE PROBLEMS WITH STRONG SINGULARITY
East Asian Mathematical Journal
2023 .01
-
EXISTENCE OF THREE SOLUTIONS FOR EQUATIONS OF p(x)-LAPLACE TYPE
Proceedings of the Jangjeon Mathematical Society
2017 .01
-
EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR THE SYSTEMS OF HIGHER ORDER BOUNDARY VALUE PROBLEMS ON TIME SCALES
Journal of applied mathematics & informatics
2015 .01
-
POSITIVE SOLUTIONS FOR NONLINEAR m-POINT BVP WITH SIGN CHANGING NONLINEARITY ON TIME SCALES
Journal of applied mathematics & informatics
2017 .01
-
Global attractor for a class of quasilinear degenerate parabolic equations with nonlinearity of arbitrary order
대한수학회논문집
2021 .01
-
Qualitative properties of weak solutions for p-Laplacian equations with nonlocal source and gradient absorption
대한수학회보
2020 .01
-
EXISTENCE OF POSITIVE SOLUTIONS FOR EIGENVALUE PROBLEMS OF SINGULAR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
East Asian Mathematical Journal
2017 .01
-
EXISTENCE OF THREE WEAK SOLUTIONS FOR A CLASS OF NONLINEAR OPERATORS INVOLVING p(x)-LAPLACIAN WITH MIXED BOUNDARY CONDITIONS
Nonlinear Functional Analysis and Applications
2021 .09
-
Existence of global solutions to some nonlinear equations on locally finite graphs
대한수학회지
2021 .01
-
Existence and uniqueness theorems of second-order equations with integral boundary conditions
대한수학회보
2018 .01
-
Existence of solutions for elliptic system with nonlinearities under the Dirichlet boundary condition
한국수학논문집
2015 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0