Constructing solutions for the prescribed scalar curvature problem via local Pohozaev identities
From MaRDI portal
Publication:2416368
DOI10.1016/j.jde.2019.03.023zbMath1420.35106OpenAlexW2931992380MaRDI QIDQ2416368
Chunhua Wang, Shuangjie Peng, Suting Wei
Publication date: 23 May 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2019.03.023
Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items
Construction of solutions for a critical problem with competing potentials via local Pohozaev identities, Construction of solutions for a critical Grushin problem with competing potentials, New type of positive bubble solutions for a critical Schrödinger equation, The prescribed scalar curvature problem for polyharmonic operator, On the fractional Lazer-McKenna conjecture with critical growth, On the prescribed scalar curvature problem with very degenerate prescribed functions, On the prescribed boundary mean curvature problem via local Pohozaev identities, Multi-piece of bubble solutions for a nonlinear critical elliptic equation, Cylindrical solutions for a critical Grushin-type equation via local Pohozaev identities, Doubling the equatorial for the prescribed scalar curvature problem on \(\mathbb{S}^N\), Existence of solutions to a Neumann boundary value problem with exponential nonlinearity, Large number of bubble solutions for a fractional elliptic equation with almost critical exponents, A perturbed Kirchhoff problem with critical exponent, Multi-peak solutions of a type of Kirchhoff equations with critical exponent, Construction of solutions for Hénon-type equation with critical growth, Large energy bubble solutions for Schrödinger equation with supercritical growth, Multiple high energy solutions for fractional Schrödinger equation with critical growth
Cites Work
- Unnamed Item
- Infinitely many positive and sign-changing solutions for nonlinear fractional scalar field equations
- Infinitely many positive solutions for an elliptic problem with critical or supercritical growth
- Infinitely many solutions for the Schrödinger equations in \(\mathbb R^N\) with critical growth
- Infinitely many non-radial solutions for the prescribed curvature problem of fractional operator
- Prescribing Gaussian curvature on \(S^ 2\)
- The scalar-curvature problem on the standard three-dimensional sphere
- On the prescribed scalar curvature problem in \(\mathbb{R}^N\), local uniqueness and periodicity
- Infinitely many solutions for the prescribed scalar curvature problem on \(\mathbb S^N\)
- A perturbation result in prescribing scalar curvature on \(S^ n\)
- Estimate of the conformal scalar curvature equation via the method of moving planes. II
- Prescribing scalar curvature on \(\mathbb{S}^ 3\), \(\mathbb{S}^ 4\) and related problems
- Two-bubble solutions in the super-critical Bahri-Coron's problem
- 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 \(\mathbb{R}^n\)
- The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
- On the scalar curvature equation \(-\Delta u = (1+\varepsilon K)u ^{(N+2)/(N-2)}\) in \({\mathbb R}^N\)
- Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
- Prescribed scalar curvature on the \(n\)-sphere
- Infinitely many solutions for the prescribed curvature problem of polyharmonic operator
- Infinitely many positive solutions for the nonlinear Schrödinger equations in \(\mathbb R^N\)
- Elliptic equations with critical exponent on spherical caps of \(S^{3}\)
- On Lin-Ni's conjecture in convex domains
- Positive radial solutions for and related topics
- On –δu = K(x)u5 in ℝ3
- Non-existence and symmetry of solutions to the scalar curvature equation
- Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness
- A Neumann problem with critical exponent in nonconvex domains and Lin-Ni’s conjecture
- On a stronger Lazer-McKenna conjecture for Ambrosetti-Prodi type problems
- Local uniqueness and periodicity induced by concentration
- The scalar curvature equation on \(\mathbb R^N\)
