Relationship between variational problems with norm constraints and ground state of semilinear elliptic equations in $\mathbb{R}^2$ (Q6545032)

scientific article; zbMATH DE number 7854548

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English	Relationship between variational problems with norm constraints and ground state of semilinear elliptic equations in $\mathbb{R}^2$	scientific article; zbMATH DE number 7854548

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instance of

scholarly article

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title

Relationship between variational problems with norm constraints and ground state of semilinear elliptic equations in $\mathbb{R}^2$ (English)

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author

Masato Hashizume

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published in

Calculus of Variations and Partial Differential Equations

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publication date

29 May 2024

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zbMATH Keywords

semilinear equations with Laplacian

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maximizers

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existence of ground states

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MaRDI profile type

Publication

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cites work

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Q3333435

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Uniqueness of the ground state solution for $\Delta u - u + u^3=0$ and a variational characterization of other solutions

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C1 + α local regularity of weak solutions of degenerate elliptic equations

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Vanishing-concentration-compactness alternative for the Trudinger–Moser inequality in ℝN

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On a $p$-Laplace equation with multiple critical nonlinearities

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Q3923023

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Existence and nonexistence of maximizers for variational problems associated with Trudinger--Moser type inequalities in ${\mathbb{R}^N}$

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Trudinger-Moser inequality on the whole plane with the exact growth condition

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Sharp threshold nonlinearity for maximizing the Trudinger-Moser inequalities

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On the sharp constant for the weighted Trudinger-Moser type inequality of the scaling invariant form

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On the effect of equivalent constraints on a maximizing problem associated with the Sobolev type embeddings in $\mathbb R^N$

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Vanishing-concentration-compactness alternative for critical Sobolev embedding with a general integrand in $\mathbb{R}^2$

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Uniqueness of positive solutions of $\Delta u-u+u^ p=0$ in $R^ n$

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Extremal functions for sharp Moser-Trudinger type inequalities in the whole space $\mathbb{R}^N$

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On a weighted Trudinger-Moser type inequality on the whole space and related maximizing problem.

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A proof of Trudinger's inequality and its application to nonlinear Schrödinger equations

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Exact multiplicity of positive solutions for a class of semilinear problem. II

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A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb R^2$

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Identifiers

zbMATH Open document ID

1541.3517

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Mathematics Subject Classification ID

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10.1007/S00526-024-02710-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:6545032

Relationship between variational problems with norm constraints and ground state of semilinear elliptic equations in \(\mathbb{R}^2\) (Q6545032)

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Identifiers

Sitelinks

Mathematics(1 entry)