Multiple solutions for a class of singular quasilinear problems

Keywords

Mathematics, Multiplicity (mathematics), Bounded function, Minimax, Nonlinear system

References

• Solutions for singular quasilinear Schrödinger equations with one parameterJoão Marcos do Ó, Abbas Moameni — 2010
• Solutions for a quasilinear Schr"odinger equation: a dual approachMathieu Colin, Louis Jeanjean — 2004
• Positive solution for a class of p&q-singular elliptic equationFrancisco Júlio S. A. Corrêa, Amanda S.S. Corrêa, Giovany M. Figueiredo — 2014
• Singular elliptic problems : bifurcation and asymptotic analysisMarius Ghergu, Vicenţiu D. Rădulescu — 2008
• Variational methods: Applications to nonlinear partial differential equations and Hamiltonian systemsMichaël Struwe — 1990
• Positive solutions for singular quasilinear Schrodinger equations with one parameter, IIMoameni, abbas abbas, Offin — 2010
• On a singular nonlinear dirichlet problemMario Michele Coclite, G. Palmieri — 1989
• Dual variational methods in critical point theory and applicationsAntonio Ambrosetti, Paul H. Rabinowitz — 1973
• Static solutions of a D-dimensional modified nonlinear Schrödinger equationLarissa Brizhik, A. A. Eremko, Bernard Piette — 2003
• The existence and multiplicity of classical positive solutions for a singular nonlinear elliptic problem with any growth exponentsXing Wang, Peihao Zhao, Li Zhang — 2014
• Existence and approximation of solutions of non-linear elliptic equationsCharles Stuart — 1976
• Soliton solutions for quasilinear Schrödinger equations, IIJiaquan Liu, Yaqi Wang, Zhi-Qiang Wang — 2003
• Combined effects of singular and sublinear nonlinearities in some elliptic problemsΝικόλαος Παπαγεωργίου, Vicenţiu D. Rădulescu — 2014
• Some singular, nonlinear differential equations arising in boundary layer theoryAndrew J. Callegari, A. Nachman — 1978
• A Nonlinear Singular Boundary Value Problem in the Theory of Pseudoplastic FluidsA. Nachman, Andrew J. Callegari — 1980
• Quasilinear Schrödinger equations involving concave and convex nonlinearitiesJoão Marcos do Ó, Uberlândio B. Severo — 2008
• Existence and multiplicity of positive solutions for singular quasilinear problemsKanishka Perera, Elves A. B. Silva — 2006
• An exact estimate result for a class of singular equations with critical exponentsSun Yijing, Wu Shaoping — 2011
• Minimax methods in critical point theory with applications to differential equationsP. Rabinowitz — 1986
• On the existence of soliton solutions to quasilinear Schrödinger equationsMarkus Poppenberg, Klaus Schmitt, Zhi-Qiang Wang — 2002

Cited by

• About existence and regularity of positive solutions for a quasilinear Schrödinger equation with singular nonlinearityRicardo Lima Alves, Mariana Reis — 2019
• Multiplicity result to a singular quasilinear Schrödinger equationKaushik Bal, Prashanta Garain, Indubaran Mandal — 2021
• Solution for nonvariational quasilinear elliptic systems via sub-supersolution technique and Galerkin methodFrancisco Júlio S. A. Corrêa, Gelson C. G. dos Santos, Leandro S. Tavares — 2021
• Existence of least energy positive and nodal solutions for a quasilinear Schrödinger problem with potentials vanishing at infinityGiovany M. Figueiredo, Sandra Moreira Neto, Ricardo Ruviaro — 2021
• Existence, nonexistence and multiplicity of positive solutions for singular quasilinear problemsRicardo Lima Alves — 2021
• Global multiplicity of solutions for a modified elliptic problem with singular termsCarlos Alberto Santos, Minbo Yang, Jiazheng Zhou — 2021
• Bifurcation analysis for a modified quasilinear equation with negative exponentSiyu Chen, Carlos Alberto Santos, Minbo Yang — 2021
• Existence of solution for a singular elliptic system with convection termsFrancisco Júlio S. A. Corrêa, Gelson C. G. dos Santos, Leandro S. Tavares — 2022
• Existence and multiple of solutions for a class integro-differential equations with singular term via variational and Galerkin methodsGelson C. G. dos Santos, Natan de Assis Lima, Romildo N. de Lima — 2022
• On a defocusing quasilinear Schrödinger equation with singular termMinbo Yang, Carlos A. Santos, Pedro Ubilla — 2022
• Global multiplicity of solutions to a defocusing quasilinear Schrödinger equation with the singular termSiyu Chen, Carlos Alberto Santos, Minbo Yang — 2022
• A Variational Approach to Quasilinear Elliptic Problems with Gradient DependenceGelson C. G. dos Santos, Leandro S. Tavares — 2023
• On Singular Quasilinear Elliptic Equations in R^NGelson C. G. dos Santos, Giovany M. Figueiredo, Sábado Saide Muhassua — 2023
• Existence of solution for a class of integro-differential sublinear problems with strong singularityGelson C. G. dos Santos, Natan de Assis Lima, Romildo N. de Lima — 2023
• Existence and multiplicity results for a multiparameter quasilinear Schrödinger equationFrancisco Júlio S. A. Corrêa, Gelson C. G. dos Santos, Leandro S. Tavares — 2023
• Multiple ordered solutions for a class of quasilinear problem with oscillating nonlinearityGelson C. G. dos Santos, Julio Roberto S. Silva — 2024
• Modified quasilinear equations with strongly singular and critical exponential nonlinearityReshmi Biswas, Sarika Goyal, K. Sreenadh — 2024
• Ground state solution for a class of fractional Schrödinger–Poisson system with strong singularityA. L. G. Gomes, Gelson C. G. dos Santos, Genivaldo dos Passos Corrêa — 2025
• Quasilinear Elliptic Problems with Exponential Growth via the Nehari Manifold Method: Existence of Nonnegative and Nodal SolutionsGiovany M. Figueiredo, Sandra Imaculada Moreira, Ricardo Ruviaro — 2025
• Existence of Nodal Solutions for a Class of Quasilinear Schrödinger Equations with Robin Boundary Condition音 邓 — 2025

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