The Experts below are selected from a list of 90915 Experts worldwide ranked by ideXlab platform

Hideo Kozono - One of the best experts on this subject based on the ideXlab platform.

Staicu Vasile - One of the best experts on this subject based on the ideXlab platform.

  • Nonlinear resonant Periodic Problems with concave terms
    'Elsevier BV', 2026
    Co-Authors: Aizicovici Sergiu, Papageorgiou, Nikolaos S., Staicu Vasile
    Abstract:

    We consider a nonlinear Periodic Problem, driven by the scalar p-Laplacian with a concave term and a Caratheodory perturbation. We assume that this perturbation f (t, x) is (p−1)- linear at ±∞, and resonance can occur with respect to an eigenvalue λm+1, m 2, of the negative Periodic scalar p-Laplacian. Using a combination of variational techniques, based on the critical point theory, with Morse theory, we establish the existence of at least three nontrivial solutions. Useful in our considerations is an alternative minimax characterization of λ1 > 0 (the first nonzero eigenvalue) that we prove in this work

  • Nonlinear Periodic Problems with a jumping reaction
    'American Romanian Academy of Arts and Sciences', 2026
    Co-Authors: Aizicovici Sergiu, Papageorgiou, Nikolaos S., Staicu Vasile
    Abstract:

    We consider a Periodic Problem driven by the scalar $p-$Laplacian and with a jumping (asymmetric) reaction. We prove two multiplicity theorems. The first concerns the nonlinear Problem ($1

  • Positive solutions for nonlinear Periodic Problems
    'Springer Science and Business Media LLC', 2026
    Co-Authors: Filippakis Michael, Papageorgiou Nikolaos, Staicu Vasile
    Abstract:

    We consider a nonlinear Periodic Problem driven by the scalar p-Laplacian and with a nonsmooth potential. Using the degree map for multivalued perturbations of (S)+-operators and the spectrum of a weighted eigenvalue Problem for the scalar Periodic p-Laplacian, we prove the existence of a strictly positive solution

  • Multiple nontrivial solutions for nonlinear Periodic Problems with the p-Laplacian
    'Elsevier BV', 2026
    Co-Authors: Aizicovici Sergiu, Papageorgiou Nikolaos, Staicu Vasile
    Abstract:

    We consider a nonlinear Periodic Problem driven by the scalar p-Laplacian with a nonsmooth potential (hemivariational inequality). Using the degree theory for multivalued perturbations of +(S)-operators and the spectrum of a class of weighted eigenvalue Problems for the scalar p-Laplacian, we prove the existence of at least three distinct nontrivial solutions, two of which have constant sign

  • Positive solutions for nonlinear Periodic Problems with concave terms
    'Elsevier BV', 2026
    Co-Authors: Aizicovici Sergiu, Papageorgiou, Nikolaos S., Staicu Vasile
    Abstract:

    We consider a nonlinear Periodic Problem, driven by the scalar p-Laplacian, with a parametric concave term and a Carathéodory perturbation whose potential (primitive) exhibits a p-superlinear growth near +∞, without satisfying the usual in such cases Ambrosetti– Rabinowitz condition. Using critical point theory and truncation techniques, we prove a bifurcation-type theorem describing the nonexistence, existence and multiplicity of positive solutions as the parameter varies

David Wegmann - One of the best experts on this subject based on the ideXlab platform.

  • the time Periodic Problem of the navier stokes equations in a bounded domain with moving boundary
    Nonlinear Analysis-real World Applications, 2021
    Co-Authors: Reinhard Farwig, Kazuyuki Tsuda, Hideo Kozono, David Wegmann
    Abstract:

    Abstract The time Periodic Problem of the Navier–Stokes equations on a non-cylindrical space–time domain is studied. Motivated by a recent result by Saal (2006) on maximal regularity for this kind of system we construct time Periodic solutions in L q -spaces provided the bounded domain moves Periodically with small amplitude and the given Periodic external force is small. The proof is based on new decay estimates for the solution operator of parabolic evolution equations corresponding to the non-cylindrical space–time domain Problem.

Yuehong Feng - One of the best experts on this subject based on the ideXlab platform.

  • stability of non constant steady state solutions for bipolar non isentropic euler maxwell equations with damping terms
    Zeitschrift für Angewandte Mathematik und Physik, 2016
    Co-Authors: Shu Wang, Yuehong Feng
    Abstract:

    In this article, we consider the Periodic Problem for bipolar non-isentropic Euler–Maxwell equations with damping terms in plasmas. By means of an induction argument on the order of the time-space derivatives of solutions in energy estimates, the global smooth solution with small amplitude was established close to a non-constant steady-state solution with asymptotic stability property. Furthermore, we obtain the global stability of solutions with exponential decay in time near the non-constant steady-states for bipolar non-isentropic Euler–Poisson equations. This phenomenon on the charge transport shows the essential relation and difference between the bipolar non-isentropic and the bipolar isentropic Euler–Maxwell/Poisson equations.

  • stability of non constant steady state solutions for non isentropic euler maxwell system with a temperature damping term
    Mathematical Methods in The Applied Sciences, 2016
    Co-Authors: Yuehong Feng, Shu Wang
    Abstract:

    This work is concerned with the Periodic Problem for compressible non-isentropic Euler–Maxwell systems with a temperature damping term arising in plasmas. For this Problem, we prove the global in time existence of a smooth solution around a given non-constant steady state with the help of an induction argument on the order of the mixed time-space derivatives of solutions in energy estimates. Moreover, we also show the convergence of the solution to this steady state as the time goes to the infinity. This phenomenon on the charge transport shows the essential relation of the systems with the non-isentropic Euler–Maxwell and the isentropic Euler–Maxwell systems. Copyright © 2015 John Wiley & Sons, Ltd.

Shu Wang - One of the best experts on this subject based on the ideXlab platform.

  • stability of non constant steady state solutions for bipolar non isentropic euler maxwell equations with damping terms
    Zeitschrift für Angewandte Mathematik und Physik, 2016
    Co-Authors: Shu Wang, Yuehong Feng
    Abstract:

    In this article, we consider the Periodic Problem for bipolar non-isentropic Euler–Maxwell equations with damping terms in plasmas. By means of an induction argument on the order of the time-space derivatives of solutions in energy estimates, the global smooth solution with small amplitude was established close to a non-constant steady-state solution with asymptotic stability property. Furthermore, we obtain the global stability of solutions with exponential decay in time near the non-constant steady-states for bipolar non-isentropic Euler–Poisson equations. This phenomenon on the charge transport shows the essential relation and difference between the bipolar non-isentropic and the bipolar isentropic Euler–Maxwell/Poisson equations.

  • stability of non constant steady state solutions for non isentropic euler maxwell system with a temperature damping term
    Mathematical Methods in The Applied Sciences, 2016
    Co-Authors: Yuehong Feng, Shu Wang
    Abstract:

    This work is concerned with the Periodic Problem for compressible non-isentropic Euler–Maxwell systems with a temperature damping term arising in plasmas. For this Problem, we prove the global in time existence of a smooth solution around a given non-constant steady state with the help of an induction argument on the order of the mixed time-space derivatives of solutions in energy estimates. Moreover, we also show the convergence of the solution to this steady state as the time goes to the infinity. This phenomenon on the charge transport shows the essential relation of the systems with the non-isentropic Euler–Maxwell and the isentropic Euler–Maxwell systems. Copyright © 2015 John Wiley & Sons, Ltd.