Nonlinear BVPs with functional parameters

DOI10.1016/j.jde.2008.10.030zbMath1173.34009OpenAlexW2023082686MaRDI QIDQ1006098

Aleksandra Orpel

Publication date: 17 March 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.10.030

zbMATH Keywords

variational principlepositive solutionexterior domainannular domainelliptic problemsradial solutionduality method

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items

Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains, A note on the dependence of solutions on functional parameters for nonlinear Sturm-Liouville problems, Variational approach to semilinear elliptic equation with nonlinear boundary, A variational approach to the eigenvalue problem for higher order BVPs with singular nonlinearities, On positive solutions for a class of quasilinear elliptic systems, EIGENVALUE PROBLEMS FOR SINGULAR ODES, Systems of nonlinear Sturm-Liouville problems -- the dependence of solutions on functional parameters, Non-Zero Radial Solutions for Elliptic Systems with Coupled Functional BCs in Exterior Domains, Existence and properties of solutions for boundary value problems based on the nonlinear reactor dynamics

Cites Work

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• On the existence of positive radial solutions for a certain class of elliptic BVPs
• Exact multiplicity results for a class of two-point boundary value problems
• Positive solutions for a class of multiparameter ordinary elliptic systems
• A priori estimates and existence of positive solutions of semilinear elliptic equations
• Positive solutions for superlinear elliptic equations.
• Local superlinearity for elliptic systems involving parameters
• Existence and uniqueness of positive solutions to a class of semilinear elliptic systems.
• On the existence of positive solutions and their continuous dependence on functional parameters for some class of elliptic problems
• Multiple solutions of nonlinear elliptic Dirichlet problems in exterior domains
• Positive solutions for sublinear elliptic equations
• Existence and multiplicity of positive solutions for nonlinear elliptic problems in exterior domains with “rich” topology
• Bounded Solutions for Nonlinear Elliptic Equations in Unbounded Domains
• Multiple positive solutions for a nonlinear Dirichlet problem with non-convex vector-valued response
• Existence and multiplicity results for semilinear elliptic Dirichlet problems in exterior domains
• Existence and nonexistence of positive radial solutions of an elliptic Dirichlet problem in an exterior domain
• Existence of multiple positive solutions of singular boundary value problems
• Multiparameter Elliptic Equations in Annular Domains
• Non-homogeneous elliptic equations in exterior domains
• Nonlinear diffusion induced by nonlinear sources
• Eigenvalues of singular boundary value problems and existence results for positive radial solutions of semilinear elliptic problems in exterior domains
• Positive radial solutions of nonlinear elliptic systems