Existence and properties of bubbling solutions for a critical nonlinear elliptic equation
From MaRDI portal
Publication:6171176
DOI10.1007/s11784-023-01059-7zbMath1519.35140MaRDI QIDQ6171176
Qingfang Wang, Chunhua Wang, Jing Yang
Publication date: 17 July 2023
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Periodic solutions to PDEs (35B10) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Infinitely many solutions for the Schrödinger equations in \(\mathbb R^N\) with critical growth
- The scalar-curvature problem on the standard three-dimensional sphere
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- On the prescribed scalar curvature problem in \(\mathbb{R}^N\), local uniqueness and periodicity
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
- Infinitely many solutions for the prescribed scalar curvature problem on \(\mathbb S^N\)
- On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics
- A perturbation result in prescribing scalar curvature on \(S^ n\)
- Prescribing scalar curvature on \(\mathbb{S}^ 3\), \(\mathbb{S}^ 4\) and related problems
- Existence and uniqueness results on single-peaked solutions of a semilinear problem
- A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator
- Two-bubble solutions in the super-critical Bahri-Coron's problem
- Uniqueness of positive multi-lump bound states of nonlinear Schrödinger equations
- Concentration of solutions for the scalar curvature equation on \(\mathbb{R}^n\)
- Construction of solutions via local Pohozaev identities
- From one bubble to several bubbles: the low-dimensional case.
- Multi-bump solutions of \(-\Delta = K(x)u^{\frac{n+2}{n-2}}\) on lattices in \(\mathbb{R}^n\)
- On the number of single-peak solutions of the nonlinear Schrödinger equation.
- Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
- Elliptic equations with critical exponent on spherical caps of \(S^{3}\)
- Global and local behavior of positive solutions of nonlinear elliptic equations
- On –δu = K(x)u5 in ℝ3
- Multiple solutions of a critical polyharmonic equation
- Uniqueness of positive solutions of a nonlinear elliptic equation involving the critical exponent
- Local uniqueness and periodicity induced by concentration