A perturbed problem of elliptic system with critical exponent
From MaRDI portal
Publication:5867294
DOI10.1080/00036811.2021.1877681zbMath1498.35228OpenAlexW3122529090MaRDI QIDQ5867294
No author found.
Publication date: 13 September 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2021.1877681
existencecritical exponentLyapunov-Schmidt reduction methodsecond-order semilinear system with Laplacian
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)
Cites Work
- Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case
- On elliptic systems with Sobolev critical growth
- Multiple positive solutions for linearly coupled nonlinear elliptic systems with critical exponent
- Some remarks on systems of elliptic equations doubly critical in the whole \(\mathbb R^N\)
- Best constant in Sobolev inequality
- Problèmes isoperimetriques et espaces de Sobolev
- Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics
- On the scalar curvature equation \(-\Delta u = (1+\varepsilon K)u ^{(N+2)/(N-2)}\) in \({\mathbb R}^N\)
- Segregated and synchronized vector solutions for nonlinear Schrödinger systems
- The perturbation problem of an elliptic system with Sobolev critical growth
- A fountain of positive bubbles on a Coron's problem for a competitive weakly coupled gradient system
- A remark on doubly critical elliptic systems
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- The best sobolev constant
- On Coron's problem for weakly coupled elliptic systems
- Existence and symmetry of positive ground states for a doubly critical Schrödinger system
- On coupled nonlinear Schrödinger systems with mixed couplings
This page was built for publication: A perturbed problem of elliptic system with critical exponent