Nontrivial \(p\)-convex solutions to singular \(p\)-Monge-Ampère problems: existence, multiplicity and nonexistence (Q6611943)

scientific article; zbMATH DE number 7919826

Language	Label	Description	Also known as
English	Nontrivial \(p\)-convex solutions to singular \(p\)-Monge-Ampère problems: existence, multiplicity and nonexistence	scientific article; zbMATH DE number 7919826

Statements

instance of

scholarly article

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title

Nontrivial \(p\)-convex solutions to singular \(p\)-Monge-Ampère problems: existence, multiplicity and nonexistence (English)

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author

Meiqiang Feng

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published in

Communications in Analysis and Mechanics

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publication date

27 September 2024

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zbMATH Keywords

Monge-Ampère-type equations and systems

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Dirichlet condition

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existence

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non-existence

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Uniqueness of positive solutions for quasilinear elliptic equations when a parameter is large

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Boundary blow-up solutions and their applications in quasilinear elliptic equations

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Large solutions for equations involving the \(p\)-Laplacian and singular weights

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Q4227371

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Boundary asymptotic and uniqueness of solutions to the \(p\)-Laplacian with infinite boundary values

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Existence of large solutions of a class of quasilinear elliptic equations with singular boundary

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Solutions ofp-Laplace Equations with Infinite Boundary Values: The case of Non-Autonomous and Non-Monotone Nonlinearities

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Boundary behavior of large solutions to \(p\)-Laplacian elliptic equations

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Boundary blow-up solutions for \(p\)-Laplacian elliptic equations of logistic type

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Nontrivial solutions for perturbed p–Laplacian on RN

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A coupled \(p\)-Laplacian elliptic system: existence, uniqueness and asymptotic behavior

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A uniqueness result for a semipositone \(p\)-Laplacian problem on the exterior of a ball

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Uniqueness of positive radial solutions for infinite semipositone \(p\)-Laplacian problems in exterior domains

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On sign-changing and multiple solutions of the \(p\)-Laplacian.

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Double phase problems: a survey of some recent results

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Existence and uniqueness for a class of quasilinear elliptic boundary value problems.

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Positive solutions of singular multiparameter \(p\)-Laplacian elliptic systems

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Nonzero positive weak solutions of systems of \(p\)-Laplace equations

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On sequences of homoclinic solutions for fractional discrete \(p\)-Laplacian equations

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Non-trivial solutions for a partial discrete Dirichlet nonlinear problem with \(p\)-Laplacian

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On the solutions to weakly coupled system of \(\boldsymbol{k_i}\)-Hessian equations

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\(C^{1}\) regularity of solutions of the Monge-Ampère equation for optimal transport in dimension two

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The Monge-Ampère equation with infinite boundary value

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On the existence of solutions to the Monge-Ampère equation with infinite boundary values

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On the Dirichlet problem for Monge-Ampère type equations

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Boundary regularity for the Monge-Ampère and affine maximal surface equations

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Blow-up solutions to the Monge-Ampère equation with a gradient term: sharp conditions for the existence and asymptotic estimates

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Sharp conditions for the existence of boundary blow-up solutions to the Monge-Ampère equation

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On Monge-Ampère equations with nonlinear gradient terms -- infinite boundary value problems

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Existence and non-existence of solutions for a class of Monge-Ampère equations

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Boundary behavior of large solutions to the Monge-Ampère equations with weights

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Large solutions to the Monge-Ampère equations with nonlinear gradient terms: existence and boundary behavior

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Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation

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Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation

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A class of singular \(k_{i}\)-Hessian systems

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Global existence and blow up of solutions for pseudo-parabolic equation with singular potential

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On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)

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Convex solutions of Monge-Ampère equations and systems: existence, uniqueness and asymptotic behavior

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On a power-type coupled system of Monge-Ampère equations

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A class of singular coupled systems of superlinear Monge-Ampère equations

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Eigenvalue problems for singular \(p\)-Monge-Ampère equations

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Necessary and sufficient conditions on global solvability for the p-k-Hessian inequalities

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Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

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Multiple Positive Solutions of Semilinear Differential Equations with Singularities

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The existence of infinitely many boundary blow-up solutions to the \(p\)-\(k\)-Hessian equation

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Entire positive \(p\)-\(k\)-convex radial solutions to \(p\)-\(k\)-Hessian equations and systems

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Necessary and sufficient conditions for the existence of entire subsolutions to \(p\)-\(k\)-Hessian equations

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Identifiers

zbMATH Open document ID

1547.35402

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6611943