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Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 10
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Articles

On a class of double-phase problem without Ambrosetti–Rabinowitz-type conditions

Bin Gea School of Mathematical Sciences, Harbin Engineering University, Harbin, People's Republic of China;b College of Automation, Harbin Engineering University, Harbin, People's Republic of ChinaCorrespondence[email protected]
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,
Li-Yan Wangb College of Automation, Harbin Engineering University, Harbin, People's Republic of ChinaView further author information
&
Jian-Fang Lua School of Mathematical Sciences, Harbin Engineering University, Harbin, People's Republic of ChinaView further author information
Pages 2147-2162 | Received 23 Feb 2019, Accepted 08 Oct 2019, Published online: 16 Oct 2019

Citations (13)

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Ke-Qi Wang & Qing-Mei Zhou. (2021) On a double phase problem with sublinear and superlinear nonlinearities. Complex Variables and Elliptic Equations 66:6-7, pages 1182-1193.
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Articles from other publishers (12)

Abdellaziz Harrabi, Mohamed Karim Hamdani & Alessio Fiscella. (2024) On a m(x)$$ m(x) $$‐polyharmonic Kirchhoff problem without any growth near 0 and Ambrosetti–Rabinowitz conditions. Mathematical Methods in the Applied Sciences.
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Qing‐Hai Cao, Bin Ge & Yu‐Ting Zhang. (2023) The Nehari manifold for double‐phase problems with convex and concave nonlinearities. Mathematische Nachrichten 297:2, pages 512-524.
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Yun-Ho Kim. (2023) Multiple solutions to Kirchhoff-Schrödinger equations involving the $ p(\cdot) $-Laplace-type operator. AIMS Mathematics 8:4, pages 9461-9482.
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Bin Ge, Beilei Zhang & Wenshuo Yuan. (2023) Multiple Nontrivial Solutions for Superlinear Double Phase Problems Via Morse Theory. Chinese Annals of Mathematics, Series B 44:1, pages 49-66.
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Bin Ge, Jin-Wei Zhao & Wen-Shuo Yuan. (2022) On double-phase problems without any growth and Ambrosetti–Rabinowitz conditions. Journal of Mathematical Physics 63:9.
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Jae-Myoung Kim & Yun-Ho Kim. (2022) Multiple solutions to the double phase problems involving concave-convex nonlinearities. AIMS Mathematics 8:3, pages 5060-5079.
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Beata Derȩgowska, Leszek Gasiński & Nikolaos S. Papageorgiou. (2021) A Multiplicity Theorem for Superlinear Double Phase Problems. Symmetry 13:9, pages 1556.
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Xiao-Feng Cao, Bin Ge & Wen-Shou Yuan. (2021) Existence and Nonexistence of Solutions for the Double Phase Problem. Results in Mathematics 76:3.
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Bin Ge, Xiao-Feng Cao & Wen-Shuo Yuan. (2021) Existence of two solutions for double-phase problems with a small perturbation. Applicable Analysis, pages 1-9.
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Bin-Sheng Wang, Gang-Ling Hou & Bin Ge. (2021) Existence of solutions for double-phase problems by topological degree. Journal of Fixed Point Theory and Applications 23:1.
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Bei-Lei Zhang, Bin Ge & Gang-Ling Hou. (2020) Infinitely many positive solutions for a double phase problem. Boundary Value Problems 2020:1.
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Zhi-Yuan Chen, Bin Ge, Wen-Shuo Yuan & Xiao-Feng Cao. (2020) Existence of Solution for Double-Phase Problem with Singular Weights. Advances in Mathematical Physics 2020, pages 1-7.
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