Electronic Journal of Differential Equations
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The Electronic Journal of Differential Equations is hosted by the Department of Mathematics at Texas State University. Since its foundation in 1993, this ejournal has been dedicated to the rapid dissemination of high quality research in mathematics.
Journal Website: http://ejde.math.txstate.edu/
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Attractors of asymptotically periodic multivalued dynamical systems governed by timedependent subdifferentials
(Texas State UniversitySan Marcos, Department of Mathematics, 20040910)We study a nonlinear evolution equation associated with timedependent subdifferential in a separable Hilbert space. In particular, we consider an asymptotically periodic system, which means that timedependent terms ... 
Uniqueness for degenerate elliptic sublinear problems in the absence of dead cores
(Texas State UniversitySan Marcos, Department of Mathematics, 20040921)In this work we study the problem div (∇up2 ∇u) = λƒ(u) in the unit ball of ℝN, with u = 0 on the boundary, where p > 2, and λ is a real parameter. We assume that the nonlinearity ƒ has a zero ū0 > 0 of order k ≥ p1. ... 
Isoperimetric inequality for an interior free boundary problem with plaplacian operator
(Texas State UniversitySan Marcos, Department of Mathematics, 20040914)By considering the pLaplacian operator, we establish an existence and regularity result for a shape optimization problem. From a monotony result, we show the existence of a solution to the interior problem with a free ... 
Pyramidal central configurations and perverse solutions
(Texas State UniversitySan Marcos, Department of Mathematics, 20040910)For nbody problems, a central configuration (CC) plays an important role. In this paper, we establish the relation between the spatial pyramidal central configuration (PCC) and the planar central configuration. We prove ... 
Persistence and extinction of single population in a polluted environment
(Texas State UniversitySan Marcos, Department of Mathematics, 20040912)In this paper, we consider the ODE system corresponding to a diffusiveconvective model for the dynamics of a population living in a polluted environment. Sufficient criteria on persistence and extinction of the population ... 
Nontrivial solution for a threepoint boundaryvalue problem
(Texas State UniversitySan Marcos, Department of Mathematics, 20040922)In this paper, we study the existence of nontrivial solutions for the secondorder threepoint boundaryvalue problem u'' + ƒ(t, u) = 0, 0 < t < 1, u'(0) = 0, u(1) = ɑu'(η). where η ∈ (0, 1), ɑ ∈ ℝ, ƒ ∈ C([0, 1] x ℝ, ℝ). ... 
From discrete Boltzmann equation to compressible linearized Euler equations
(Texas State UniversitySan Marcos, Department of Mathematics, 20040908)This paper concerns the asymptotic analysis of the linearized Euler limit for a general discrete velocity model of the Boltzmann equation. This is done for any dimension of the physical space, for densities which remain ... 
Stability properties of nonnegative solutions of semilinear symmetric cooperative systems
(Texas State UniversitySan Marcos, Department of Mathematics, 20040908)We investigate the stability of nonnegative stationary solutions of symmetric cooperative semilinear systems with some convex (resp. concave) nonlinearity condition, namely all secondorder partial derivatives of each ... 
Solitary waves for MaxwellSchrodinger equations
(Southwest Texas State University, Department of Mathematics, 20040730)In this paper we study solitary waves for the coupled system of SchrodingerMaxwell equations in the threedimensional space. We prove the existence of a sequence of radial solitary waves for these equations with a fixed ... 
Entire solutions of semilinear elliptic equations
(Southwest Texas State University, Department of Mathematics, 20040623)We consider existence of entire solutions of a semilinear elliptic equation ∆u = k(x) ƒ(u) for x ∈ ℝn, n ≥ 3. Conditions of the existence of entire solutions have been obtained by different authors. We prove a certain ... 
On the role of the equalarea condition in internal layer stationary solutions to a class of reactiondiffusion systems
(Southwest Texas State University, Department of Mathematics, 20040812)We present necessary conditions for the formation of internal transition layers in stationary solutions to some singularly perturbed reactiondiffusion systems. In particular we prove that the wellknown equalarea condition ... 
The critical case for a semilinear weakly hyperbolic equation
(Southwest Texas State University, Department of Mathematics, 20040824)We prove a global existence result for the Cauchy problem, in the threedimensional space, associated with the equation utt  αλ (t)Δxu = uu p(λ)1 where αλ(t) ≥ 0 and behaves at (t  t0)λ close to some t0 > 0 with α(t0) ... 
Blowup of solutions to a nonlinear wave equation
(Southwest Texas State University, Department of Mathematics, 20040526)We study the solutions to the radial 2dimensional wave equation Xtt  1/r Xrr + sinh2X/2r2 = g, X(1, r) = X∘ ∈ Ḣγ rad, Xt(1, r) = X1 ∈ Ḣγ1 rad, where r = x and x in ℝ2. We show that this Cauchy problem, with values ... 
Solution matching for a threepoint boundaryvalue problem on atime scale
(Southwest Texas State University, Department of Mathematics, 20040708)Let T be a time scale such that t1, t2, t3 ∈ T. We show the existence of a unique solution for the threepoint boundary value problem y∆∆∆(t) = ƒ(t, y(t), y∆ (t), y∆∆(t)), t ∈ [t1, t3] ∩ T, y(t1) = y1, y(t2) = y2, y(t3) = ... 
Dynamic contact with Signorini's condition and slip rate dependent friction
(Southwest Texas State University, Department of Mathematics, 20040611)Existence of a weak solution for the problem of dynamic frictional contact between a viscoelastic body and a rigid foundation is established. Contact is modelled with the Signorini condition. Friction is described by a ... 
Existence of solutions for a nonlinear degenerate elliptic system
(Southwest Texas State University, Department of Mathematics, 20040727)In this paper, we study the existence of solutions for degenerate elliptic systems. We use the subsuper solution method, and the existence of classical and weak solutions. Some subsupersolutions are constructed explicitly, ... 
Variational methods for a resonant problem with the pLaplacian in ℝN
(Southwest Texas State University, Department of Mathematics, 20040526)The solvability of the resonant Cauchy problem Δpu = λ1m (x)up2 u + ƒ(x) in ℝN; u ∈ D1,p (ℝN), in the entire Euclidean space RN (N ≥ 1) is investigated as a part of the Fredholm alternative at the first (smallest) ... 
Asymptotic stability for secondorder differential equations with complex coefficients
(Southwest Texas State University, Department of Mathematics, 20040613)We prove asymptotical stability and instability results for a general secondorder differential equations with complexvalued functions as coefficients. To prove asymptotic stability of linear secondorder differential ... 
Deterministic homogenization of parabolic monotone operators with time dependent coefficients
(Southwest Texas State University, Department of Mathematics, 20040608)We study, beyond the classical periodic setting, the homogenization of linear and nonlinear parabolic differential equations associated with monotone operators. The usual periodicity hypothesis is here substituted by an ... 
Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems
(Southwest Texas State University, Department of Mathematics, 20040818)We prove a criticalpoint result which provides conditions for the existence of infinitely many critical points of a strongly indefinite functional with perturbed symmetries. Then we apply this result to obtain infinitely ...