Existence and multiplicity of solutions for a class of fractional elliptic systems
From MaRDI portal
Publication:2301247
DOI10.1007/s13348-019-00253-6zbMath1473.35243OpenAlexW2944876362MaRDI QIDQ2301247
Publication date: 24 February 2020
Published in: Collectanea Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13348-019-00253-6
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)
Related Items
Semiclassical states for non-cooperative singularly perturbed fractional Schrödinger systems ⋮ Nontrivial solutions for a class of Hamiltonian strongly degenerate elliptic system ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlocal diffusion and applications
- On critical systems involving fractional Laplacian
- The Nehari manifold for fractional systems involving critical nonlinearities
- A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian
- On some critical problems for the fractional Laplacian operator
- Concentration-compactness principle for nonlocal scalar field equations with critical growth
- Mountain pass solutions for non-local elliptic operators
- Nonlinear scalar field equations. I: Existence of a ground state
- On a class of nonlinear Schrödinger equations
- Fractional quantum mechanics and Lévy path integrals
- Existence and multiplicity of solutions of semilinear elliptic equations in \(\mathbb{R}^N\)
- Existence, non-degeneracy of proportional positive solutions and least energy solutions for a fractional elliptic system
- Nonexistence and symmetry of solutions to some fractional Laplacian equations in the upper half space
- Variational methods for non-local operators of elliptic type
- Liouville type theorems for nonlinear elliptic equations and systems involving fractional Laplacian in the half space
- Dual variational methods in critical point theory and applications
- Existence of entire solutions for Schrödinger-Hardy systems involving two fractional operators
- Weak and viscosity solutions of the fractional Laplace equation
- Critical and subcritical fractional problems with vanishing potentials
- Bound state for the fractional Schrödinger equation with unbounded potential
- A concave—convex elliptic problem involving the fractional Laplacian
- 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
- MULTIPLE SOLUTIONS TO p-LAPLACIAN PROBLEMS WITH ASYMPTOTIC NONLINEARITY AS up−1 AT INFINITY
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- A variational approach to noncooperative elliptic systems
- 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
- An Extension Problem Related to the Fractional Laplacian
- On a class of fractional Schrödinger equations in with sign-changing potential