Ground state solution for a weighted fourth-order Schrödinger equation with exponential growth nonlinearity (Q6185040)

scientific article; zbMATH DE number 7796572

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English	Ground state solution for a weighted fourth-order Schrödinger equation with exponential growth nonlinearity	scientific article; zbMATH DE number 7796572

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instance of

scholarly article

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title

Ground state solution for a weighted fourth-order Schrödinger equation with exponential growth nonlinearity (English)

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DOI

10.1007/s10986-023-09617-9

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Lithuanian Mathematical Journal

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publication date

29 January 2024

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Mathematics Subject Classification ID

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biharmonic operator

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critical exponential growth

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Dirchlet condition

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Neumann condition

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existence of ground states

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10986-023-09617-9

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OpenAlex ID

W4390638380

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cites work

On a weighted elliptic equation of \(N\)-Kirchhoff type with double exponential growth

0 references

A sharp inequality of J. Moser for higher order derivatives

0 references

Positive solutions of the semilinear Dirichlet problem with critical growth in the unit disc in \({\mathbb{R}}^ 2\)

0 references

Q3980100

0 references

Solution of biharmonic equations with application to radar imaging

0 references

Non-autonomous weighted elliptic equations with double exponential growth

0 references

Trudinger-Moser type inequalities with logarithmic weights in dimension \(N\)

0 references

Elliptic equations in dimension 2 with double exponential nonlinearities

0 references

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

0 references

Sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the upper half-spaces

0 references

Existence and nonexistence of extremals for critical Adams inequalities in \(\mathbb{R}^4\) and Trudinger-Moser inequalities in \(\mathbb{R}^2\)

0 references

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

0 references

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

0 references

Existence and non-existence of extremals for critical Adams inequality in any even dimension

0 references

Existence and non-existence of ground states of bi-harmonic equations involving constant and degenerate Rabinowitz potentials

0 references

Existence of extremals for Trudinger-Moser inequalities involved with a trapping potential

0 references

Least energy solutions to quasilinear subelliptic equations with constant and degenerate potentials on the Heisenberg group

0 references

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

0 references

Ground state solutions for weighted \(N\)-Laplacian problem with exponential non linear growth

0 references

Two maximum principles for a nonlinear fourth order equation from thin plate theory

0 references

Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range

0 references

\(N\)-Laplacian problems with critical double exponential nonlinearities

0 references

Q4343193

0 references

Elliptic problem involving logarithmic weight under exponential nonlinearities growth

0 references

Existence solutions for a weighted biharmonic equation with critical exponential growth

0 references

On solutions of second and fourth order elliptic equations with power-type nonlinearities

0 references

Weighted fourth order equation of Kirchhoff type in dimension 4 with non-linear exponential growth

0 references

Q3683006

0 references

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

0 references

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

0 references

Q5500028

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Sharp Adams type inequalities in Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb R^n)\) for arbitrary integer \(m\)

0 references

N-Laplacian Equations in ℝ<sup>N</sup> with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition

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

0 references

Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition

0 references

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

0 references

Superlinear problems without Ambrosetti and Rabinowitz growth condition

0 references

Q5603485

0 references

Thin Films with High Surface Tension

0 references

Sharp Adams-type inequalities in ℝⁿ

0 references

A biharmonic equation in \(\mathbb{R}^4\) involving nonlinearities with critical exponential growth

0 references

Q5547919

0 references

Minimax theorems

0 references

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

0 references

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

0 references

Ground state solutions of polyharmonic equations with potentials of positive low bound

0 references

Adams’ inequality with logarithmic weights in ℝ⁴

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Sitelinks

Mathematics(1 entry)

mardi Publication:6185040