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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회지 대한수학회지 제58권 제6호
- 발행연도
- 2021.11
- 수록면
- 1,461 - 1,484 (24page)
- DOI
- 10.4134/JKMS.j210099
이용수
초록· 키워드
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We deal with the following elliptic equations: { ? div ( φ ′ ( | ∇ z | 2 ) ∇ z ) + V ( x ) | z | α ? 2 z = λ ρ ( x ) | z | r ? 2 z + h ( x , z ) , z ( x ) → 0 , a s | x | → ∞ , in ?N , where N ≥ 2, 1 < p < q < N, 1 < α ≤ p*q'/p', α < q, 1 < r < min{p, α}, φ(t) behaves like tq/2 for small t and tp/2 for large t, and p' and q' the conjugate exponents of p and q, respectively. Here, V : ?N → (0, ∞) is a potential function and h : ?N × ? → ? is a Caratheodory function. The present paper is devoted to the existence of at least two distinct nontrivial solutions to quasilinear elliptic problems of Schrodinger type, which provides a concave-convex nature to the problem. The primary tools are the well-known mountain pass theorem and a variant of Ekeland's variational principle.
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참고문헌 (45)
참고문헌 신청
Karima Ait-Mahiout / 2016 / Existence and multiplicity of solutions for a class of quasilinear problems in Orlicz–Sobolev spaces / Complex Variables and Elliptic Equations 62(6):767~785
Claudianor O. Alves / 2016 / Multiplicity and concentration of positive solutions for a class of quasilinear problems through Orlicz-Sobolev space / Journal of Mathematical Physics 57(11):111502
A. Ambrosetti / 1994 / Combined Effects of Concave and Convex Nonlinearities in Some Elliptic Problems / Journal of Functional Analysis 122(2):519~543
Antonio Ambrosetti / 1973 / Dual variational methods in critical point theory and applications / Journal of Functional Analysis 14(4):349~381
A. Azzollini / 2015 / Minimum action solutions for a quasilinear equation / J. Lond. Math. Soc 92(3):583~595
Claudianor O. Alves / 2016 / Multiplicity and concentration of positive solutions for a class of quasilinear problems through Orlicz-Sobolev space / Journal of Mathematical Physics 57(11):111502
A. Ambrosetti / 1994 / Combined Effects of Concave and Convex Nonlinearities in Some Elliptic Problems / Journal of Functional Analysis 122(2):519~543
Antonio Ambrosetti / 1973 / Dual variational methods in critical point theory and applications / Journal of Functional Analysis 14(4):349~381
A. Azzollini / 2015 / Minimum action solutions for a quasilinear equation / J. Lond. Math. Soc 92(3):583~595
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