Ground states for fractional Schrödinger equations involving critical or supercritical exponent
DOI10.1080/00036811.2021.1945045zbMath1514.35128OpenAlexW3177177666MaRDI QIDQ6038950
Quanqing Li, Kai-Min Teng, Wenbo Wang, Jian Zhang
Publication date: 3 May 2023
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2021.1945045
Critical exponents in context of PDEs (35B33) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11)
Cites Work
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- Hitchhiker's guide to the fractional Sobolev spaces
- Fractional quantum mechanics and Lévy path integrals
- Existence of nontrivial solutions for generalized quasilinear Schrödinger equations with critical or supercritical growths
- Minimax theorems
- Existence of positive solutions for a class of critical fractional Schrödinger equations with potential vanishing at infinity
- Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
- Bound state for the fractional Schrödinger equation with unbounded potential
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian
- Ground states for Kirchhoff-type equations with critical or supercritical growth
- Existence and multiplicity of solutions for superlinear fractional Schrödinger equations in ℝN
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Ground states for fractional Schrödinger equations with critical growth
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- Existence of nontrivial solutions for Schrödinger‐Kirchhoff type equations with critical or supercritical growth
- Ground state solutions of asymptotically linear fractional Schrödinger equations
- Ground states for fractional Schrödinger equations with critical growth
- An Extension Problem Related to the Fractional Laplacian
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