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、威尼斯第八届教学名师、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、威尼斯校青年科学基金各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”和“优秀青年教师基础研究支持计划”各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、威尼斯教学成果奖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. Duan,L. Guo and B. Zhang. Multiplicity of solutions of Kirchhoff-type fractional Laplacian problems with critical and singular nonlinearities,Electron. 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. Duan,L. Guo and B. Zhang. Kirchhoff-Type Fractional Laplacian Problems with Critical and Singular Nonlinearities,Bull. Malays. Math. Sci. Soc.,2023,46: 81.
[7] J. Zhou,L. Guo and B. Zhang. Kirchhoff-type problems involving the fractional p-Laplacian on the Heisenberg group,Rend. Circ. Mat. Palerm., 2022, 71(3): 1133–1157.
[8] L. Guo, Y. Sun and G. Shi. Ground states for fractional nonlocal equations with logarithmic nonlinearity,Opusc. 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.