Existence and concentration of solutions for a class of elliptic Kirchhoff-Schrödinger equations with subcritical and critical growth
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Publication:2027284
DOI10.1007/s00032-020-00317-4zbMath1466.35158OpenAlexW3084884569MaRDI QIDQ2027284
Bráulio B. V. Maia, Augusto C. R. Costa, Olímpio Hiroshi Miyagaki
Publication date: 25 May 2021
Published in: Milan Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00032-020-00317-4
Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
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- Infinitely many solutions for a critical Kirchhoff type problem involving a fractional operator.
- Hitchhiker's guide to the fractional Sobolev spaces
- A critical fractional equation with concave-convex power nonlinearities
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
- Nonlocal Schrödinger-Kirchhoff equations with external magnetic field
- Ground state solutions of scalar field fractional Schrödinger equations
- Fractional quantum mechanics and Lévy path integrals
- Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method
- Existence of positive solution of the equation \((-\Delta )^{s}u+a(x)u=|u|^{2^{*}_{s}-2}u\)
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
- A Brezis-Nirenberg result for non-local critical equations in low dimension
- Ground states for nonlinear Kirchhoff equations with critical growth
- Concentrating solutions for a class of nonlinear fractional Schrödinger equations in \(\mathbb{R}^N\)
- Existence and multiplicity of solutions for fractional Schrödinger-Kirchhoff equations with Trudinger-Moser nonlinearity
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
- Multi-bump solutions for a Kirchhoff-type problem
- A critical Kirchhoff type problem involving a nonlocal operator
- Ground states solutions for a non-linear equation involving a pseudo-relativistic Schrödinger operator
- Uniqueness of Radial Solutions for the Fractional Laplacian
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Lévy Processes and Stochastic Calculus
- On a class of semilinear elliptic problems in ℝN with critical growth
- NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
- Concentration phenomena for a fractional Schrödinger‐Kirchhoff type equation
- Ground state solutions for a fractional Schrödinger equation with critical growth
- Financial Modelling with Jump Processes
- Existence and multiplicity results for some superlinear elliptic problems on RN
- Ground state solutions for the non-linear fractional Schrödinger–Poisson system
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- The Brezis-Nirenberg result for the fractional Laplacian
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