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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제35권 제1호
- 발행연도
- 2017.1
- 수록면
- 11 - 24 (14page)
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Using variational methods, we study the existence and multiplicity of weak solutions for some p(x)-Laplacian-like problems. First, without assuming any asymptotic condition neither at zero nor at infinity, we prove the existence of a non-zero solution for our problem. Next, we obtain the existence of two solutions, assuming only the classical Ambrosetti-Rabinowitz condition. Finally, we present a three solutions existence result under appropriate condition on the potential F.
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참고문헌 (24)
참고문헌 신청
G.A. Afrouzi / 2014 / Existence and nonexistence of nontrivial weak solution for a class of general capillarity systems / Acta Math. Appl. Sinica, English Series 30(4):1121~1130
G. Barletta / 2010 / Existence of solutions for Neumann problem involvingthe p(x)-Laplacian / Electron. J. Diff. Equa 33:1~11
Ge Bin / 2014 / ON SUPERLINEAR p(x)-LAPLACIAN-LIKE PROBLEM WITHOUT AMBROSETTI AND RABINOWITZ CONDITION / 대한수학회보 51(2):409~421
G. Bonanno / 2012 / A critical point theorem via the Ekeland variational principle / Nonlinear Anal 75:2992~3007
G. Bonanno / 2012 / Relations between the mountain pass theorem and minima / Adv. Nonlinear Anal 1:205~220
G. Barletta / 2010 / Existence of solutions for Neumann problem involvingthe p(x)-Laplacian / Electron. J. Diff. Equa 33:1~11
Ge Bin / 2014 / ON SUPERLINEAR p(x)-LAPLACIAN-LIKE PROBLEM WITHOUT AMBROSETTI AND RABINOWITZ CONDITION / 대한수학회보 51(2):409~421
G. Bonanno / 2012 / A critical point theorem via the Ekeland variational principle / Nonlinear Anal 75:2992~3007
G. Bonanno / 2012 / Relations between the mountain pass theorem and minima / Adv. Nonlinear Anal 1:205~220
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