Positive solutions of perturbed elliptic problems involving Hardy potential and critical Sobolev exponent
DOI10.3934/dcdsb.2016033zbMath1353.35161OpenAlexW2469617103MaRDI QIDQ321728
Publication date: 14 October 2016
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2016033
positive solutionscritical exponentnonlinear Schrödinger equationsanisotropic problempertubation method
Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations in context of PDEs (35B20) Positive solutions to PDEs (35B09)
Related Items (1)
Cites Work
- Unnamed Item
- Nonlinear scalar field equations. I: Existence of a ground state
- Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
- Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics
- Positive solutions to perturbed elliptic problems in \(\mathbb R^N\) involving critical Sobolev exponent
- Semiclassical states of nonlinear Schrödinger equations
- Perturbation results for an anisotropic Schrödinger equation via a variational method
- The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
- Global bifurcation results for a semilinear elliptic equation on all of \(\mathbb{R}^ N\)
- Variational perturbative methods and bifurcation of bound states from the essential spectrum
- On harnack type inequalities and their application to quasilinear elliptic equations
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