Existence of ground state solutions for weighted biharmonic problem involving non linear exponential growth
From MaRDI portal
Publication:6058359
DOI10.1007/S41808-023-00223-XzbMath1526.35142arXiv2211.10067OpenAlexW4375859439MaRDI QIDQ6058359
Publication date: 1 November 2023
Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.10067
Boundary value problems for higher-order elliptic equations (35J40) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
- Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\)
- Critical growth biharmonic elliptic problems under Steklov-type boundary conditions
- Superlinear problems without Ambrosetti and Rabinowitz growth condition
- On solutions of second and fourth order elliptic equations with power-type nonlinearities
- A sharp inequality of J. Moser for higher order derivatives
- Solution of biharmonic equations with application to radar imaging
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- Existence and nonexistence results for critical growth biharmonic elliptic equations
- Positive solutions of the semilinear Dirichlet problem with critical growth in the unit disc in \({\mathbb{R}}^ 2\)
- Minimax theorems
- A biharmonic equation in \(\mathbb{R}^4\) involving nonlinearities with critical exponential growth
- Ground states of bi-harmonic equations with critical exponential growth involving constant and trapping potentials
- \(N\)-Laplacian problems with critical double exponential nonlinearities
- On Trudinger-Moser type inequalities with logarithmic weights
- Dual variational methods in critical point theory and applications
- Trudinger-Moser type inequalities with logarithmic weights in dimension \(N\)
- Elliptic equations in dimension 2 with double exponential nonlinearities
- Critical exponents, critical dimensions and the biharmonic operator
- Existence solutions for a weighted biharmonic equation with critical exponential growth
- Weighted Trudinger - Moser Inequalities and Applications
- Thin Films with High Surface Tension
- Sharp Adams-type inequalities in ℝⁿ
- Adams’ inequality with logarithmic weights in ℝ⁴
- Two maximum principles for a nonlinear fourth order equation from thin plate theory
- Non-autonomous weighted elliptic equations with double exponential growth
This page was built for publication: Existence of ground state solutions for weighted biharmonic problem involving non linear exponential growth