A topological approach to a class of one-dimensional Kirchhoff equations
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Publication:4994916
DOI10.1090/bproc/84zbMath1477.34044OpenAlexW3169089959MaRDI QIDQ4994916
Publication date: 22 June 2021
Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/bproc/84
Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Inequalities for sums, series and integrals (26D15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)
Related Items (9)
Nonexistence and parameter range estimates for convolution differential equations ⋮ Nonlocal differential equations with (p,q)$ {(p,q)}$ growth ⋮ Convolution equations with variable time nonlocal coefficients ⋮ An application of Sobolev's inequality to one-dimensional Kirchhoff equations ⋮ Nonlocal differential equations with convolution coefficients and applications to fractional calculus ⋮ Topological analysis of doubly nonlocal boundary value problems ⋮ A one-dimensional Kirchhoff equation with generalized convolution coefficients ⋮ An analysis of nonlocal difference equations with finite convolution coefficients ⋮ Nonlocal differential equations with convex convolution coefficients
Cites Work
- Unnamed Item
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- Positive solutions to fractional differential equations involving Stieltjes integral conditions
- The multiplicity of positive solutions for a class of nonlocal elliptic problem
- The existence and multiplicity of positive solutions for a class of nonlocal elliptic problems
- Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains
- Third order boundary value problems with nonlocal boundary conditions
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- On a class of problems involving a nonlocal operator.
- Perturbed integral operator equations of Volterra type with applications to \(p\)-Laplacian equations
- The effect of a nonstandard cone on existence theorem applicability in nonlocal boundary value problems
- Radially symmetric solutions of elliptic PDEs with uniformly negative weight
- On positive solutions of nonlocal and nonvariational elliptic problems
- Self-interaction of Brownian particles coupled with thermodynamic processes
- Nonlocal elliptic equations.
- Existence and multiplicity of positive solutions for a nonlocal differential equation
- Existence result for a Kirchhoff elliptic system involving p-Laplacian operator with variable parameters and additive right hand side via sub and super solution methods
- A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity
- Positivity, monotonicity, and convexity for convolution operators
- Existence of positive solutions for a new class of Kirchhoff parabolic systems
- Nonzero positive solutions of nonlocal elliptic systems with functional BCs
- Positive and increasing solutions of perturbed Hammerstein integral equations with derivative dependence
- Existence and localization of positive solutions for a nonlocal BVP arising in chemical reactor theory
- Existence of solution for a class of nonlocal elliptic problem via sub-supersolution method
- Coercive nonlocal elements in fractional differential equations
- New Harnack inequalities and existence theorems for radially symmetric solutions of elliptic PDEs with sign changing or vanishing Green's function
- Existence and nonexistence results for positive solutions of an integral boundary value problem
- Positive solutions for some nonlocal and nonvariational elliptic systems
- Existence Results for an Elliptic Equation of Kirchhoff-Type with Changing Sign Data
- On nonlocal BVPs with nonlinear boundary conditions with asymptotically sublinear or superlinear growth
- Existence and Non-Existence Results for Nonlocal Elliptic Systems via Sub-Supersolution Method
- POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
- A class of nonlocal parabolic problems occurring in statistical mechanics
- Nonlocal parabolic problems in statistical mechanics
- Existence of positive weak solutions for a class of Kirrchoff elliptic systems with multiple parameters
- Non-Zero Radial Solutions for Elliptic Systems with Coupled Functional BCs in Exterior Domains
- Global bifurcation and nodal solutions for homogeneous Kirchhoff type equations
- Existence of positive solutions for a class of Kirchhoff type systems involving critical exponents
- Further results of existence of positive solutions of elliptic Kirchhoff equation with general nonlinearity of source terms
- A sub-supersolution approach for a quasilinear Kirchhoff equation
- On Nonlinear Boundary Conditions Involving Decomposable Linear Functionals
- Some existence results for an elliptic equation of Kirchhoff‐type with changing sign data and a logarithmic nonlinearity
- A topological approach to nonlocal elliptic partial differential equations on an annulus
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