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Uniform bounds for higher-order semilinear problems in conformal dimension - MaRDI portal

Uniform bounds for higher-order semilinear problems in conformal dimension (Q1985837)

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Language	Label	Description	Also known as
English	Uniform bounds for higher-order semilinear problems in conformal dimension	scientific article

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scholarly article

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Uniform bounds for higher-order semilinear problems in conformal dimension (English)

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Gabriele Mancini

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Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

7 April 2020

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full work available at URL

https://arxiv.org/abs/1710.05354

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zbMATH Keywords

higher-order elliptic problems

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a priori estimates

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positive solutions

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blow-up

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MaRDI profile type

MaRDI publication profile

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A sharp inequality of J. Moser for higher order derivatives

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Concentration phenomena for Liouville's equation in dimension four

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Uniform bounds for solutions to elliptic problems on simply connected planar domains

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Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems

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Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e<sup>u</sup>in two dimensions

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On a class of superlinear elliptic problems

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A priori estimates for solutions to nonlinear elliptic equations

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Uniform anti-maximum principle for polyharmonic boundary value problems

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Estimates for Green function and Poisson kernels of higher-order Dirichlet boundary value problems

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On the existence of bounded solutions for a nonlinear elliptic system

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Positivity, symmetry and uniqueness for minimizers of second-order Sobolev inequalities

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Monotonicity and symmetry of solutions of elliptic systems in general domains

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A priori estimates and existence of positive solutions of semilinear elliptic equations

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Semilinear Elliptic Systems With Exponential Nonlinearities in Two Dimensions

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Non-variational elliptic systems in dimension two: a priori bounds and existence of positive solutions

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Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains

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A priori bounds for positive solutions of nonlinear elliptic equations

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Positivity and almost positivity of biharmonic Green's functions under Dirichlet boundary conditions

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Uniform estimates for polyharmonic Green functions in domains with small holes

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Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions

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Positivity properties of elliptic boundary value problems of higher order

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Sharp estimates for iterated Green functions

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Analytic aspects of the Tzitzéica equation: blow-up analysis and existence results

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Existence of solutions for a class of semilinear polyharmonic equations with critical exponential growth

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Existence of nontrivial solutions to polyharmonic equations with subcritical and critical exponential growth

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A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)

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Locating the peaks of solutions via the maximum principle II: A local version of the method of moving planes

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A priori bounds for superlinear problems involving the \(N\)-Laplacian

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Classification of solutions to the higher order Liouville's equation on \({\mathbb{R}^{2m}}\)

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Concentration-compactness phenomena in the higher order Liouville's equation

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Asymptotics and Quantization for a Mean-Field Equation of Higher Order

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A rellich type identity and applications

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Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems

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A priori bounds and a Liouville theorem on a half-space for higher-order elliptic Dirichlet problems

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Asymptotic behavior of a fourth order mean field equation with Dirichlet boundary condition

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A-priori bounds for quasilinear problems in critical dimension

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Optimal regularity conditions for elliptic problems via \(L^p_\delta\)-spaces

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Positivity for a strongly coupled elliptic system by Green function estimates

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Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.

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Identifiers

zbMATH Open document ID

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10.1016/j.na.2019.111717

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1985837

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