Existence of ground states to quasi-linear Schrödinger equations with critical exponential growth involving different potentials (Q6547807)

scientific article; zbMATH DE number 7857776

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English	Existence of ground states to quasi-linear Schrödinger equations with critical exponential growth involving different potentials	scientific article; zbMATH DE number 7857776

Statements

instance of

scholarly article

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title

Existence of ground states to quasi-linear Schrödinger equations with critical exponential growth involving different potentials (English)

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Advanced Nonlinear Studies

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publication date

31 May 2024

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zbMATH Keywords

nonlinear Schrödinger equation

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degenerate potential

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existence of ground states

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Nehari manifold

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Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R

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$N$-Laplacian equations in $\mathbb{R}^N$ with critical growth

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Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents

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

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

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A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument

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Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications

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Q3581209

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The concentration-compactness principle in the calculus of variations. The limit case. I

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An improvement for the Trudinger-Moser inequality and applications

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Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions

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Concentration-compactness principle of singular Trudinger-Moser inequalities in $\mathbb{R}^n$ and $n$-Laplace equations

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Concentration-compactness principles for Moser-Trudinger inequalities: new results and proofs

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Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in $\mathbb{R}^4$

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Sharp singular Trudinger-Moser inequalities under different norms

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Concentration-compactness principle associated with Adams' inequality in Lorentz-Sobolev space

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Concentration-compactness principle for Trudinger-Moser's inequalities on Riemannian manifolds and Heisenberg groups: a completely symmetrization-free argument

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Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces

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Q5747034

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Best Constants for Adams’ Inequalities with the Exact Growth Condition in ℝn

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Concentration-compactness principle for Trudinger-Moser inequalities with logarithmic weights and their applications

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A critical Trudinger-Moser inequality involving a degenerate potential and nonlinear Schrödinger equations

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Existence and multiplicity of solutions to equations of $N$-Laplacian type with critical exponential growth in $\mathbb R^N$

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Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space

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Ground States for Elliptic Equations in $\pmb{\mathbb{R}}^{2}$ with Exponential Critical Growth

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Trudinger-Moser Inequalities with the Exact Growth Condition in ℝNand Applications

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Existence of a ground state solution for a nonlinear scalar field equation with critical growth

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Semiclassical states of nonlinear Schrödinger equations

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Improved fractional Trudinger-Moser inequalities on bounded intervals and the existence of their extremals

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On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in $\mathbb R^{N}$

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Ground states of bi-harmonic equations with critical exponential growth involving constant and trapping potentials

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Sharp Trudinger-Moser inequality and ground state solutions to quasi-linear Schrödinger equations with degenerate potentials in $\mathbb{R}^n$

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A singular Moser-Trudinger embedding and its applications

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Identifiers

zbMATH Open document ID

1540.35144

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Mathematics Subject Classification ID

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10.1515/ANS-2023-0136

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Sitelinks

Mathematics(1 entry)

mardi Publication:6547807