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郭立丰

作者: 时间:2024-04-01 点击数:

郭立丰,毕业于哈尔滨工业大学,理学博士,教授,硕士生导师。美国数学会数学评论评论员、国家天元数学东北中心执行委员会委员、黑龙江省数学会常务理事、黑龙江省工业与应用数学会理事、东北石油大学第八届教学名师、第十三届全国大学生数学竞赛国家级优秀指导教师。主要从事非线性泛函分析、非线性偏微分方程、数学物理等领域的研究。发表科研论文20余篇,其中SCI检索13篇,合著专著1部。主持完成黑龙江省自然科学基金青年基金、黑龙江省教育厅科学科技面上项目、东北石油大学校青年科学基金各1项,2023年获批黑龙江省教育厅省属本科高校基础研究科研能力提升专项优秀青年教师基础研究支持计划1项。

主持完成黑龙江省教育厅教改项目2项、黑龙江省规划厅重点规划课题2项,曾获黑龙江省高等教育学会教学研究成果二等奖1项、东北石油大学教学成果奖2项。

论文与著作:

[1] 付永强,张夏,郭立丰,张彬林. 变指数函数空间及其应用. 北京:科学出版社,2019.

[2] Y. Zhao and L. Guo. Optical wave propagation for the sixth-order nonlinear partial differential equation in optical fiber. J. Nonlinear Opt. Phys., 2023, 32(4): 2350078.

[3] Q. DuanL. Guo and B. Zhang. Multiplicity of solutions of Kirchhoff-type fractional Laplacian problems with critical and singular nonlinearitiesElectron. J. Qual. Theo.2023, 45: 1-28.

[4] Y. Zhao and L. Guo. Optical solitons of the (2+1)-dimensional nonlinear Schrödinger equation with spatio-temporal dispersion in quadratic cubic media. Phys. Scripta, 2023, 98(11): 115231.

[5] Y. Zhao and L. Guo. Optical wave solutions of the nonlinear Schrödinger equation with an anti-cubic nonlinear in presence of Hamiltonian perturbation terms. Optik, 2023, 274: 170593.

[6] Q. DuanL. Guo and B. Zhang. Kirchhoff-Type Fractional Laplacian Problems with Critical and Singular NonlinearitiesBull. Malays. Math. Sci. Soc.2023,46: 81.

[7] J. ZhouL. Guo and B. Zhang. Kirchhoff-type problems involving the fractional p-Laplacian on the Heisenberg groupRend. Circ. Mat. Palerm., 2022, 71(3): 1133–1157.

[8] L. Guo, Y. Sun and G. Shi. Ground states for fractional nonlocal equations with logarithmic nonlinearityOpusc. Math.2022,42 (2):157–178.

[9] L. Guo and W. Xu. The traveling wave mode for nonlinear Biswas-Milovic equation in magneto-optical wave guide coupling system with Kudryashov's law of refractive index, Resul. in Physics, 2021, 27: 104500.

[10] W. Xu, L. Guo and C. Wang, Optical solutions of Biswas-Arshed equation in optical fibers, Modern Physics Letters B, 2021, 35(2): 21500511-21500518.

[11] J. Zhang, L. Guo and M. Yang. Quasilinear asymptotically periodic Schrödinger –Poisson system with subcritical growth, Bound. Value Probl., 2020, 2020: 109.

[12] L. Guo, B. Zhang and Y. Zhang, Fractional p-Laplacian equations on Riemannian manifolds. Electron. J. Eq., 2018, 156: 1-17.

[13] L. Guo. The Dirichlet problem for nonlinear elliptic equations with variable exponents on Riemannian manifolds. J. of App. Anal. Comput. 2015, 5: 562-569.

[14] Y. Fu and L. Guo. Variable exponent spaces of differential forms on Riemannian manifold. J. Funct. Space. App., 2012, 2012: 575819.

[15] Y. Fu and L. Guo. Existence of solutions for nonhomogeneous A-harmonic equations with variable growth. Abstr. Appl. Anal., 2012, 2012: 421571.



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