Ground states of weighted 4D biharmonic equations with exponential growth

Boundary value problems for higher-order elliptic equations (35J40) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Cites Work

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Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
Superlinear problems without Ambrosetti and Rabinowitz growth condition
A sharp inequality of J. Moser for higher order derivatives
Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
Positive solutions of the semilinear Dirichlet problem with critical growth in the unit disc in \({\mathbb{R}}^ 2\)
A biharmonic equation in \(\mathbb{R}^4\) involving nonlinearities with critical exponential growth
On a weighted elliptic equation of \(N\)-Kirchhoff type with double 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
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
Sharp Adams-type inequalities in ℝⁿ
Adams’ inequality with logarithmic weights in ℝ⁴
Non-autonomous weighted elliptic equations with double exponential growth
Existence of signed and sign-changing solutions for weighted Kirchhoff problems with critical exponential growth
Three solutions for discrete anisotropic Kirchhoff-type problems
Anisotropic Navier Kirchhoff problems with convection and Laplacian dependence
Ground state solution to N-Kirchhoff equation with critical exponential growth and without Ambrosetti-Rabinowitz condition

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