Existence solutions for a weighted biharmonic equation with critical exponential growth
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Publication:2685561
DOI10.1007/s00009-023-02301-9OpenAlexW4320036209MaRDI QIDQ2685561
Publication date: 22 February 2023
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-023-02301-9
Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for higher-order elliptic systems (35J58)
Related Items (2)
Existence of ground state solutions for weighted biharmonic problem involving non linear exponential growth ⋮ Ground state solution for a weighted fourth-order Schrödinger equation with exponential growth nonlinearity
Cites Work
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- 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 \({\mathbb{R}}^ 2\)
- A biharmonic equation in \(\mathbb{R}^4\) involving nonlinearities with critical exponential growth
- Concentration-compactness principle for Trudinger-Moser inequalities with logarithmic weights and their applications
- Ground states of bi-harmonic equations with critical exponential growth involving constant and trapping potentials
- \(N\)-Laplacian problems with critical double exponential nonlinearities
- 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
- 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
- Some Weighted Inequalities of Trudinger–Moser Type
- Non-autonomous weighted elliptic equations with double exponential growth
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