Multiple solutions for quasilinear elliptic equations

DOI10.1016/0362-546X(90)90003-YzbMath0723.35034OpenAlexW2093123091MaRDI QIDQ3211693

Norimichi Hirano

Publication date: 1990

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90003-y

zbMATH Keywords

quasilinearmultiple weak solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Degree, winding number (55M25)

Related Items (11)

Multiplicity results for a quasilinear elliptic equation ⋮ Unnamed Item ⋮ Topological degree for \((S)_{+}\)-mappings with maximal monotone perturbations and its applications to variational inequalities ⋮ Nonexistence of positive solutions of quasilinear differential equations ⋮ Some existence and multiplicity results for a class of quasilinear elliptic eigenvalue problems ⋮ \(W^{1,p}\) versus \(C^1\) local minimizers and multiplicity results for quasilinear elliptic equations. ⋮ Partial differential equations involving subcritical, critical and supercritical nonlinearities. ⋮ Multiple solutions for a class of nonlinear boundary value problems near resonance: a variational approach ⋮ Existence of solutions for quasilinear elliptic equations ⋮ Strong coefficient stability for quasilinear elliptic equations with application to inverse coefficient problems ⋮ Exact multiplicity for some quasilinear elliptic Dirichlet problems where the non-linearity changes sign

Cites Work

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• Unnamed Item
• Multiple solutions of semilinear elliptic problems in a ball
• Critical point theory and the number of solutions of a nonlinear Dirichlet problem
• Fixed point theory and nonlinear problems
• Multiple Nontrivial Solutions of Resonant and Nonresonant Asymptotically Linear Problems
• Multiple Nontrivial Solutions of Semilinear Elliptic Equations
• A reduction method for some nonlinear dirichlet problems
• Sharp nonuniqueness results for some nonlinear problems
• A Note on Degree Theory for Gradient Mappings
• Existence of nontrivial solutions of semilinear elliptic equations
• Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces

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