Existence of three solutions for quasilinear elliptic equations: an Orlicz-Sobolev space setting

DOI10.1007/s10255-017-0659-0zbMath1370.35099OpenAlexW2610080002MaRDI QIDQ2013028

Fei Fang, Zhong Tan

Publication date: 3 August 2017

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-017-0659-0

zbMATH Keywords

Orlicz-Sobolev spacesquasilinear elliptic equationsthree critical points theorem

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items (3)

Radially symmetric solutions for quasilinear elliptic equations involving nonhomogeneous operators in an Orlicz-Sobolev space setting ⋮ Unnamed Item ⋮ Discontinuous perturbations of nonhomogeneous strongly-singular Kirchhoff problems

Cites Work

• Regularity, monotonicity and symmetry of positive solutions of \(m\)-Laplace equations
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• On an elliptic Kirchhoff-type problem depending on two parameters
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• On the existence of multiple positive solutions of quasilinear elliptic eigenvalue problems
• A further three critical points theorem
• On principal eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting
• Mountain pass type solutions for quasilinear elliptic equations
• Multiplicity results for some nonlinear elliptic equations
• Existence of three solutions for \(p(x)\)-Laplacian equations
• Linking over cones and nontrivial solutions for \(p\)-Laplace equations with \(p\)-superlinear nonlinearity
• Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on RN
• On solutions to nonlinear reaction-diffusion-convection equations with degenerate diffusion
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