Construction of solutions of an supercritical elliptic PDE in low dimensions (Q2662167)

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English	Construction of solutions of an supercritical elliptic PDE in low dimensions	scientific article

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instance of

scholarly article

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title

Construction of solutions of an supercritical elliptic PDE in low dimensions (English)

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Annali di Matematica Pura ed Applicata. Serie Quarta

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publication date

9 April 2021

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zbMATH Keywords

supercritical exponent

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finite-dimensional reduction

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critical points

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10231-020-00982-7

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cites work

Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics

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Finite-dimensional reduction of a supercritical exponent equation

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Nonexistence results of sign-changing solutions to a supercritical nonlinear problem

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Construction of solutions of an elliptic PDE with a supercritical exponent nonlinearity using the finite dimensional reduction

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PROFILE AND EXISTENCE OF SIGN-CHANGING SOLUTIONS TO AN ELLIPTIC SUBCRITICAL EQUATION

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A NONEXISTENCE RESULT OF SINGLE PEAKED SOLUTIONS TO A SUPERCRITICAL NONLINEAR PROBLEM

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On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain

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Minimal nodal solutions of the pure critical exponent problem on a symmetric domain

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Q3687093

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Sign-changing tower of bubbles to an elliptic subcritical equation

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A Note on an Equation with Critical Exponent

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Multi-peak solutions for super-critical elliptic problems in domains with small holes

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Two-bubble solutions in the super-critical Bahri-Coron's problem

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Q3469499

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On a variational problem involving critical Sobolev growth in dimension three

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Construction of sign-changing solutions for a subcritical problem on the four dimensional half sphere

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Q4009508

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Q4827093

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Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I

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Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness

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Blow-up solutions for asymptotically critical elliptic equations on Riemannian manifolds

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Multispike solutions for the Brezis-Nirenberg problem in dimension three

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Multiplicity of positive solutions of nonlinear elliptic equations with critical Sobolev exponent in some contractible domains

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Nontrivial solutions of elliptic equations with supercritical exponent in contractible domains

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The effect of the domain shape on the existence of positive solutions of the equation \(\Delta u + u^{2^*-1}= 0\)

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Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem

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The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent

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The topological impact of critical points at infinity in a variational problem with lack of compactness: The dimension 3

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Infinitely many solutions for the prescribed scalar curvature problem on \(\mathbb S^N\)

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Identifiers

zbMATH Open document ID

1465.35150

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DOI

10.1007/s10231-020-00982-7

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2662167