Showing papers in "Journal of Differential Equations in 2016"

TL;DR: In this paper, the authors considered the existence of ground state sign-changing solutions for a class of Kirchhoff-type problems (0.1) and proved that the energy of the ground state solution is strictly larger than twice that of the non-Neighari-type ground state solutions.

TL;DR: In this paper, the spectral regularity of solutions to L u = f in R n ∖ Ω, where u is the generator of any stable and symmetric Levy process.

TL;DR: In this paper, the global existence and boundedness of solutions to a general reaction-diffusion predator-prey system with prey-taxis defined on a smooth bounded domain with no-flux boundary condition was proved.

TL;DR: In this article, the effects of diffusion and advection for a susceptible-infected-susceptible epidemic reaction-diffusion model in heterogeneous environments were studied, and the definition of the basic reproduction number R 0 was given.

TL;DR: In this paper, the existence of ground state solutions for the nonlinear fractional Schrodinger-Poisson system with critical Sobolev exponent was studied and a nontrivial ground state solution was proved under certain assumptions on V ( x ), using the method of Pohozaev-Nehari manifold and the arguments of Brezis-Nirenberg, the monotonic trick and global compactness Lemma.

TL;DR: In this paper, a diffusive SIS model with the mass action infection was considered, and the authors explored the asymptotic profiles of the endemic steady state for small and large diffusion rates.

TL;DR: In this article, the existence of weak solutions for a perturbed nonlinear elliptic equation driven by the fractional p-Laplacian operator was investigated and the existence and multiplicity results for the above-mentioned equations depending on λ and according to the integrability properties of the ratio a q − p / b r − p.

TL;DR: In this paper, the authors considered the critical case α β = γ and showed that exponential stability occurs if and only if A is a bounded operator, and the energy decays to zero when A is unbounded as well.

TL;DR: In this paper, the authors considered the Keller-Segel system and established the global existence of uniformly in-time bounded classical solutions with large initial data if the repulsion dominates or cancels attraction (i.e., ξ γ ≥ α χ ).

TL;DR: In this article, a variational inequality solution set is shown to be nonempty and compact, based on the theory of semigroups, Filippov implicit function lemma and fixed point theory for set-valued mappings.

TL;DR: The singularly perturbed non-local Schrodinger equation is studied in this paper, where the existence and concentration of solutions are established by variational methods, assuming that the nonlinearity f ( s ) has critical exponential growth in the sense of Trudinger-Moser.

TL;DR: In this article, a fractional variant of the Cahn-Hilliard equation is introduced and the existence and uniqueness of weak solutions to the related initial-boundary value problem is proved.

TL;DR: Using the mountain pass theorem due to Ambrosetti-Rabinowitz, the authors proved that if α λ 1 ( Ω ), then for any p > 2, there exists a positive solution to { − Δ u − α u = | u | p − 2 u in Ω ∘, u = 0 on ∂ Ω, where Ω∘ and ∂Ω denote the interior and the boundary of Ω respectively.

TL;DR: In this paper, the asymptotic behavior of solutions to a singular chemotaxis system modeling the onset of tumor angiogenesis in two and three dimensional whole spaces is investigated.

TL;DR: In this article, the authors used the full Maxwell equations for light propagation in order to analyze plasmonic resonances for nanoparticles, and derived a condition on the volume fraction under which the Maxwell-Garnett theory is valid at plasmoronic resonances.

TL;DR: In this article, the authors studied increasing stability in the interior inverse source problem for the Helmholtz equation from boundary Cauchy data for multiple wave numbers using the Fourier transform with respect to the wave number.

TL;DR: In this paper, the existence of ground state solutions for nonlinear Schrodinger-Poisson systems with a wide class of superlinear nonlinearities was studied and when V ≡ 1, the ground state solution was obtained by using a new approach.

TL;DR: In this paper, the authors proved that the solution map of the Cauchy problem of Camassa-Holm type equations depends continuously on the initial data in nonhomogeneous Besov spaces in the sense of Hadamard.

TL;DR: In this article, a corresponding Liouville-type theorem is established for an indefinite fractional elliptic problem and a priori estimate for solutions in a bounded domain by blowing-up and rescaling is obtained.

TL;DR: In this article, the solitary wave solutions for a generalized quasilinear Schrodinger equation in R N involving critical exponents, which have appeared from plasma physics, as well as high-power ultashort laser in matter, were obtained by using change of variables and variational argument.

TL;DR: In this paper, a new class of optimal control problems governed by the dissipative and discontinuous differential inclusion of the sweeping/Moreau process while using controls to determine the best shape of moving convex polyhedra in order to optimize the given Bolza-type functional, which depends on control and state variables as well as their velocities.

TL;DR: In this paper, the dynamics of a general diffusive predator-prey system is considered and the existence and nonexistence of non-constant positive steady state solutions are identified to identify the ranges of parameters of spatial pattern formation.

TL;DR: In this paper, the dynamics of a diffusive Lotka-Volterra type model for two species with nonlocal delay effect and Dirichlet boundary conditions are investigated by means of Lyapunov-Schmidt reduction.

TL;DR: In this article, Liouville type theorems for the steady Navier-Stokes equations in R 3 have been proved for R 3, and a sufficient condition for the trivially of the solution ( v = 0 ) in terms of the head pressure, Q = 1 2 | v | 2 + p.

TL;DR: In this paper, the theory of self-adjoint extensions of symmetric operators is used to construct Kreĭn-like resolvent formulae where the reference operator coincides with the free operator with domain H 2 (R n ) ; this provides an useful tool for the scattering problem from a hypersurface.

TL;DR: In this article, the Navier slip boundary condition and the balance of contact forces at the fluid-structure interface were used to solve the problem of heart valve closure with a contact involving elastic interfaces.

TL;DR: In this paper, the authors studied the fast minimization properties of the trajectories of the second-order evolution equation x ¨ ( t ) + α t x ˙ (t ) + β ∇ 2 Φ ( x ( t )) x ǫ ( t) + ∇ Φ( xǫ( t ) = 0, where α, β are positive parameters.

TL;DR: In this article, the authors considered the 2D viscous, non-resistive MHD system and showed that if the background magnetic field is sufficiently large, then they can obtain the global existence of strong solutions.

TL;DR: In this article, the existence and nonexistence of standing waves with a vortex point of order N was studied for the nonlinear Chern-Simons-Schrodinger equations (CSS).

TL;DR: In this paper, the existence and uniqueness of strong nonnegative solutions for the Dirichlet problem with zero data outside of a bounded domain was proved. But the authors did not consider the nonlocal version of the p-Laplacian operator.