The critical fractional Schrödinger equation with a small superlinear term (Q1729155)

scientific article; zbMATH DE number 7030099

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English	The critical fractional Schrödinger equation with a small superlinear term	scientific article; zbMATH DE number 7030099

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instance of

scholarly article

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title

The critical fractional Schrödinger equation with a small superlinear term (English)

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Nonlinear Analysis. Real World Applications

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publication date

27 February 2019

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zbMATH Keywords

fractional Schrödinger equation

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critical growth

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variational method

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.nonrwa.2018.07.003

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cites work

Fractional quantum mechanics and Lévy path integrals

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Nonlocal diffusion and applications

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An Extension Problem Related to the Fractional Laplacian

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Bound state for the fractional Schrödinger equation with unbounded potential

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Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN

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Ground state solutions of asymptotically linear fractional Schrödinger equations

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A critical nonlinear fractional elliptic equation with saddle-like potential in $\mathbb{R}^N$

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Existence and concentration of solution for a class of fractional elliptic equation in $\mathbb {R}^N$ via penalization method

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Concentrating standing waves for the fractional nonlinear Schrödinger equation

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Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum

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Ground states and concentration phenomena for the fractional Schrödinger equation

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Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities

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Concentrating solutions of nonlinear fractional Schrödinger equation with potentials

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On fractional Schr$\ddot{\mbox{o}}$ödinger equation in $\mathbb {R}^{N}$RN with critical growth

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Ground state solutions of scalar field fractional Schrödinger equations

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Multiple positive solutions for nonlinear critical fractional elliptic equations involving sign-changing weight functions

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The existence of nontrivial solutions for the critical Kirchhoff type problem in $\mathbb R^N$

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Q2995197

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Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity

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Fractional Schrödinger-Poisson systems with a general subcritical or critical nonlinearity

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Hitchhiker's guide to the fractional Sobolev spaces

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On fractional Schrödinger equations in ${\mathbb R}^N$ without the Ambrosetti-Rabinowitz condition

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Minimax theorems

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Best constants for Sobolev inequalities for higher order fractional derivatives

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The Brezis-Nirenberg result for the fractional Laplacian

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Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces

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Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials

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Four positive solutions for the semilinear elliptic equation: $-\Delta u+u=a(x) u^p +f(x)$ in $\mathbb{R}^N$

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Critical point theory and Hamiltonian systems

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The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems

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Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology

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A Variation of the Mountain Pass Lemma and Applications

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Identifiers

zbMATH Open document ID

1409.35231

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Mathematics Subject Classification ID

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10.1016/J.NONRWA.2018.07.003

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Sitelinks

Mathematics(1 entry)

mardi Publication:1729155