Multiple positive solutions for a class of concave-convex Schrödinger-Poisson-Slater equations with critical exponent
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Publication:6197126
DOI10.1515/anona-2023-0129OpenAlexW4392398684MaRDI QIDQ6197126
Jia-Feng Liao, Chun-Yu Lei, Tiantian Zheng
Publication date: 16 March 2024
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2023-0129
critical exponentmultiple solutionsconcentration-compactness principleNehari manifoldSchrödinger-Poisson-Slater equations
Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20)
Cites Work
- Unnamed Item
- Existence and multiplicity of positive solutions for a class of elliptic equations involving critical Sobolev exponents
- Multiple positive solutions for semilinear elliptic systems
- Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency
- Multiple positive solutions for Kirchhoff-type problems in \({\mathbb{R}^3}\) involving critical Sobolev exponents
- Cluster solutions for the Schrödinger-Poisson-Slater problem around a local minimum of the potential
- Schrödinger-Poisson equations without Ambrosetti-Rabinowitz condition
- On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Nonlinear scalar field equations. I: Existence of a ground state
- Multiplicity of positive solutions for a nonlinear Schrödinger-Poisson system
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
- On nonhomogeneous elliptic equations involving critical Sobolev exponent
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Multiple solutions of nonhomogeneous elliptic equation with critical nonlinearity
- The Schrödinger-Poisson-\(X\alpha\) equation
- Multiplicity of positive solutions for a class of concave-convex elliptic equations with critical growth
- Existence and multiplicity of solutions for fractional Choquard equations
- Existence and nonexistence of positive solutions for a static Schrödinger-Poisson-Slater equation
- Minimax theorems
- Three positive solutions for Dirichlet problems involving critical Sobolev exponent and sign-changing weight
- Positive solutions for a critical elliptic problem involving singular nonlinearity
- Multiple solutions for superlinear Schrödinger-Poisson system with sign-changing potential and nonlinearity
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- On the existence of ground states of an equation of Schrödinger-Poisson-Slater type
- GROUND AND BOUND STATES FOR A STATIC SCHRÖDINGER–POISSON–SLATER PROBLEM
- MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
- Sharp Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces
- Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝN
- From atoms to crystals: a mathematical journey
- A Simplification of the Hartree-Fock Method
- INFINITELY MANY SOLUTIONS FOR A ZERO MASS SCHRÖDINGER-POISSON-SLATER PROBLEM WITH CRITICAL GROWTH
- Multiple positive solutions for a Schrödinger-Poisson-Slater equation with critical growth
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