Solutions for a class of fractional Hamiltonian systems with exponential growth
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Publication:5038075
DOI10.1080/00036811.2021.1919638zbMath1498.35240OpenAlexW3159068399WikidataQ115552834 ScholiaQ115552834MaRDI QIDQ5038075
Publication date: 29 September 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2021.1919638
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
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Cites Work
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- Critical growth fractional elliptic systems with exponential nonlinearity
- Hamiltonian elliptic systems in \(\mathbb R^2\) with subcritical and critical exponential growth
- On critical systems involving fractional Laplacian
- The Nehari manifold for fractional systems involving critical nonlinearities
- Fractional Adams-Moser-Trudinger type inequalities
- On the positive vector solutions for nonlinear fractional Laplacian systems with linear coupling
- Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity
- Elliptic equations and systems with critical Trudinger-Moser nonlinearities
- Periodic solutions of Hamiltonian system on a prescribed energy surface
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- Fractional quantum mechanics and Lévy path integrals
- Critical system involving fractional Laplacian
- Coupled elliptic systems involving the square root of the Laplacian and Trudinger-Moser critical growth.
- On critical cases of Sobolev's inequalities
- On a singular Hamiltonian elliptic systems involving critical growth in dimension two
- On a class of Hamiltonian systems with Trudinger-Moser nonlinearities
- Nonautonomous fractional Hamiltonian system with critical exponential growth
- Weak and viscosity solutions of the fractional Laplace equation
- Some global results for nonlinear eigenvalue problems
- On nonlinear perturbations of a periodic fractional Schrödinger equation with critical exponential growth
- Critical and subcritical fractional problems with vanishing potentials
- 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
- Non-local Diffusions, Drifts and Games
- Semilinear elliptic equations for the fractional Laplacian involving critical exponential growth
- Existence of solutions to a class of quasilinear Schrödinger systems involving the fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> </mml:mrow> </mml:math>-Laplacian
- Positive ground state of coupled systems of Schrödinger equations in R2 involving critical exponential growth
- Upper bound of the best constant of the Trudinger-Moser inequality and its application to the Gagliardo-Nirenberg inequality
- Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
- Existence of bound and ground states for a class of Kirchhoff‐Schrödinger equations involving critical Trudinger‐Moser growth
- On coupled systems of nonlinear Schrödinger equations with critical exponential growth
- Critical and subcritical elliptic systems in dimension two
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- On fractional Schr$\ddot{\mbox{o}}$ödinger equation in $\mathbb {R}^{N}$RN with critical growth
