On a weighted Adams type inequality and an application to a biharmonic equation
From MaRDI portal
Publication:6120401
DOI10.1002/mma.9676MaRDI QIDQ6120401
Manassés de Souza, Unnamed Author, Uberlandio B. Severo
Publication date: 25 March 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Variational methods for higher-order elliptic equations (35J35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sharp singular Adams inequalities in high order Sobolev spaces
- Solution to biharmonic equation with vanishing potential
- Nonlinear biharmonic problems with singular potentials
- Stationary nonlinear Schrödinger equations in \(\mathbb {R}^2\) with potentials vanishing at infinity
- Blow-up analysis concerning singular Trudinger-Moser inequalities in dimension two
- Adams type inequalities and related elliptic partial differential equations in dimension four
- The concentration-compactness principle in the calculus of variations. The limit case. I
- A nonhomogeneous elliptic problem involving critical growth in dimension two
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- Adams' inequalities for bi-Laplacian and extremal functions in dimension four
- Multiple and sign-changing solutions for a class of semilinear biharmonic equation
- A sharp inequality of J. Moser for higher order derivatives
- Differentiation of integrals in \(\mathbb{R}^n\)
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- On some fourth-order semilinear elliptic problems in \(\mathbb R^N\)
- Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in \(\mathbb{R}^4\)
- A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
- \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
- On a class of singular biharmonic problems involving critical exponents.
- On critical cases of Sobolev's inequalities
- Adams' inequality and limiting Sobolev embeddings into Zygmund spaces
- Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity
- A biharmonic equation in \(\mathbb{R}^4\) involving nonlinearities with critical exponential growth
- Schrödinger equations in \(\mathbb{R}^4\) involving the biharmonic operator with critical exponential growth
- Spike solutions for nonlinear Schrödinger equations in 2D with vanishing potentials
- Combined effects of singular and exponential nonlinearities in fractional Kirchhoff problems
- Planar Schrödinger-Choquard equations with potentials vanishing at infinity: the critical case
- Adams' type inequality and application to a quasilinear nonhomogeneous equation with singular and vanishing radial potentials in \( \mathbb{R}^4 \)
- Nonlocal Kirchhoff problems with Trudinger -- Moser critical nonlinearities
- Radial solutions of inhomogeneous fourth order elliptic equations and weighted Sobolev embeddings
- Extremal functions for Trudinger-Moser inequalities of Adimurthi-Druet type in dimension two
- Multiple solutions for the fourth-order elliptic equation with vanishing potential
- Espaces d'interpolation et théorème de Soboleff
- Extremal functions for the Moser-Trudinger inequalities on compact Riemannian manifolds
- A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument
- Critical exponents and critical dimensions of polyharmonic operators
- Existence of solutions to nonlinear Schrödinger equations involving \(N\)-Laplacian and potentials vanishing at infinity
- A sharp Trudinger-Moser type inequality in $\mathbb {R}^2$
- A sharp form of the Moser-Trudinger inequality on a compact Riemannian surface
- Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
- Positive solutions of a fourth-order semilinear problem involving critical growth
- Sharp Adams-type inequalities in ℝⁿ
- Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
- Non-trivial solutions for a semilinear biharmonic problem with critical growth and potential vanishing at infinity
- A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$
- Adams' Inequality with the Exact Growth Condition in ℝ4
- Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity
- Nontrivial solutions for a class of semilinear biharmonic problems involving critical exponents
This page was built for publication: On a weighted Adams type inequality and an application to a biharmonic equation