Radial solutions of a nonlinear \(k\)-Hessian system involving a nonlinear operator

DOI10.1016/j.cnsns.2020.105396zbMath1454.35143OpenAlexW3037429557MaRDI QIDQ2213857

Lihong Zhang, Guotao Wang, Ze-dong Yang, Dumitru Baleanu

Publication date: 3 December 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105396

zbMATH Keywords

existence and non-existence of entire solutionsnonlinear \(k\)-Hessian system

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Entire solutions to PDEs (35B08)

Related Items (23)

Existence and multiplicity of radial solutions for a \(k\)-Hessian system ⋮ On the solutions to weakly coupled system of \(\boldsymbol{k_i}\)-Hessian equations ⋮ Positive solutions of singular \(k_i\)-Hessian systems ⋮ The existence and blow-up of the radial solutions of a \((k_1, k_2)\)-Hessian system involving a nonlinear operator and gradient ⋮ Non-degeneracy and uniqueness of the radial solutions to a coupled \(k\)-Hessian system ⋮ Study of an implicit type coupled system of fractional differential equations by means of topological degree theory ⋮ The radial solution for an eigenvalue problem of singular augmented Hessian equation ⋮ Existence of \(k\)-convex solutions for the \(k\)-Hessian equation ⋮ A necessary and sufficient condition for the existence of entire large solutions to a \(k\)-Hessian system ⋮ Entire positive \(p\)-\(k\)-convex radial solutions to \(p\)-\(k\)-Hessian equations and systems ⋮ Monotone iterative method for nonlinear fractional p‐Laplacian differential equation in terms of ψ‐Caputo fractional derivative equipped with a new class of nonlinear boundary conditions ⋮ A class of singular \(k_{i}\)-Hessian systems ⋮ Existence of positive solutions for a singular Hessian equation with a negative augmented term ⋮ The extreme solutions for a σ‐Hessian equation with a nonlinear operator ⋮ The iterative properties of solutions for a singular k-Hessian system ⋮ Iterative properties of solution for a general singular \(n\)-Hessian equation with decreasing nonlinearity ⋮ Existence and nonexistence of entire positive radial solutions for a class of Schrödinger elliptic systems involving a nonlinear operator ⋮ Monotone iterative method for two types of integral boundary value problems of a nonlinear fractional differential system with deviating arguments ⋮ Unnamed Item ⋮ The eigenvalue problem of a singular \(k\)-Hessian equation ⋮ Classification and existence of positive entire \(k\)-convex radial solutions for generalized nonlinear \(k\)-Hessian system ⋮ Radial symmetry and monotonicity of the positive solutions for \(k\)-Hessian equations ⋮ A novel semi-analytical method for solutions of two dimensional fuzzy fractional wave equation using natural transform

Cites Work

• Large solutions to semi-linear elliptic systems with variable exponents
• Monge-Ampère equation on exterior domains
• Explicit iteration and unbounded solutions for fractional integral boundary value problem on an infinite interval
• On polyharmonic regularizations of \(k\)-Hessian equations: variational methods
• Over-determined problems for \(k\)-Hessian equations in ring-shaped domains
• Triple nontrivial radial convex solutions of systems of Monge-Ampère equations
• Explicit iterations and extremal solutions for fractional differential equations with nonlinear integral boundary conditions
• A remark on uniqueness of large solutions for elliptic systems of competitive type
• Existence of entire positive \(k\)-convex radial solutions to Hessian equations and systems with weights
• Large solutions for an elliptic system of quasilinear equations
• Existence and non-existence of solutions for a class of Monge-Ampère equations
• A Calabi theorem for solutions to the parabolic Monge-Ampère equation with periodic data
• Existence and nonexistence of blow-up solutions for a Schrödinger equation involving a nonlinear operator
• Nonlocal Hadamard fractional boundary value problem with Hadamard integral and discrete boundary conditions on a half-line
• Polyharmonic \(k\)-Hessian equations in \(\mathbb{R}^N\)
• Twin iterative positive solutions of fractional \(q\)-difference Schrödinger equations
• New results of coupled system of \(k\)-Hessian equations
• Successive iterations and positive extremal solutions for a Hadamard type fractional integro-differential equations on infinite domain
• Sharp conditions for the existence of boundary blow-up solutions to the Monge-Ampère equation
• The Monge-Ampère equation with infinite boundary value
• On the blow-up boundary solutions of the Monge-Ampére equation with singular weights
• On a singular \(k\)-Hessian equation
• The existence and asymptotic behavior of boundary blow-up solutions to the \(k\)-Hessian equation
• The existence of an extremal solution to a nonlinear system with the right-handed Riemann-Liouville fractional derivative
• Boundary behavior of large solutions to the Monge-Ampère equations with weights
• A variational approach to complex Hessian equations in \(\mathbb{C}^n\)
• A necessary and a sufficient condition for the existence of the positive radial solutions to Hessian equations and systems with weights
• Large solutions to the Monge-Ampère equations with nonlinear gradient terms: existence and boundary behavior
• Existence and estimates of solutions to a singular Dirichlet problem for the Monge-Ampère equation
• Neutral fractional integro-differential equation with nonlinear term depending on lower order derivative
• Existence for a \(k\)-Hessian equation involving supercritical growth
• Necessary and sufficient conditions on solvability for Hessian inequalities
• On the existence of solutions to the Monge-Ampère equation with infinite boundary values
• Convex Solutions of systems of Monge-Amp\`ere equations

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