Semilinear Elliptic Equation with Biharmonic Operator and Multiple Critical Nonlinearities
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Publication:3463728
DOI10.1515/ans-2015-0405zbMath1332.31010arXiv1405.0162OpenAlexW2963324674MaRDI QIDQ3463728
Publication date: 20 January 2016
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.0162
Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items (9)
Ground state solution to the biharmonic equation ⋮ Entire solutions for a class of fourth-order semilinear elliptic equations with weights ⋮ Doubly critical problems involving fractional Laplacians in \(\mathbb{R}^N\) ⋮ Existence of solutions for Choquard type elliptic problems with doubly critical nonlinearities ⋮ Improved Sobolev inequalities and critical problems ⋮ Fourth order Hardy-Sobolev equations: singularity and doubly critical exponent ⋮ Existence of solutions to elliptic problems with fractional p-Laplacian and multiple critical nonlinearities in the entire space \(\mathbb{R}^N\) ⋮ Ground state solution of the thin film epitaxy equation ⋮ Ground state solution ofp-Laplacian equation with finite many critical nonlinearities
Cites Work
- Entire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials
- On Caffarelli-Kohn-Nirenberg-type inequalities for the weighted biharmonic operator in cones
- On the elliptic problems involving multi-singular inverse square potentials and multi-critical Sobolev-Hardy exponents
- A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
- On a class of singular biharmonic problems involving critical exponents.
- Dual variational methods in critical point theory and applications
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