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  1. Solutions with Sign Information for Noncoercive Double Phase Equations

    We consider a nonautonomous ( p q )-equation with unbalanced growth and a reaction which exhibits the combined effects of a parametric “concave" ( ...

    Nikolaos S. Papageorgiou, Jian Zhang, Wen Zhang in The Journal of Geometric Analysis
    Article 01 November 2023
  2. Existence of a Ground-State and Infinitely Many Homoclinic Solutions for a Periodic Discrete System with Sign-Changing Mixed Nonlinearities

    We study the existence and multiplicity of homoclinic solutions for a class of periodic discrete systems with sign-changing mixed nonlinearities that...

    Genghong Lin, Jianshe Yu in The Journal of Geometric Analysis
    Article 03 February 2022
  3. Generalized linking-type theorem with applications to strongly indefinite problems with sign-changing nonlinearities

    We show a linking-type result which allows us to study strongly indefinite problems with sign-changing nonlinearities. We apply the abstract theory...

    Federico Bernini, Bartosz Bieganowski in Calculus of Variations and Partial Differential Equations
    Article 13 July 2022
  4. Least Energy Solutions with Sign Information for Parametric Double Phase Problems

    We consider a parametric double phase Dirichlet problem. In the reaction there is a superlinear perturbation term which satisfies a weak Nehari-type...

    Nikolaos S. Papageorgiou, Calogero Vetro, Francesca Vetro in Results in Mathematics
    Article 18 December 2021
  5. Generalized Notions of Sparsity and Restricted Isometry Property. Part II: Applications

    Restricted isometry property (RIP) provides a near isometric map for sparse signals. RIP of structured random matrices has played a key role for...

    Marius Junge, Kiryung Lee in Journal of Fourier Analysis and Applications
    Article 03 March 2021
  6. The overlap gap property in principal submatrix recovery

    David Gamarnik, Aukosh Jagannath, Subhabrata Sen in Probability Theory and Related Fields
    Article 27 September 2021
  7. Existence Results for a Perturbed Dirichlet Problem Without Sign Condition in Orlicz Spaces

    We deal with the existence result for nonlinear elliptic equations of the form Au + g ( x, u, u ) = f, where the term div ( a ( x ,  u , ∇ u )) is a...

    H. Moussa, M. Rhoudaf, H. Sabiki in Ukrainian Mathematical Journal
    Article 01 September 2020
  8. Resonant-Superlinear Nonhomogeneous Dirichlet Problems

    We consider a Dirichlet nonlinear equation driven by the ( p , 2)-Laplacian and with a reaction having the competing effects of a parametric asymmetric...

    Zhen Hai Liu, Nikolaos S. Papageorgiou in Acta Mathematica Sinica, English Series
    Article 15 November 2023
  9. Nehari manifold approach for superlinear double phase problems with variable exponents

    In this paper we consider quasilinear elliptic equations driven by the variable exponent double phase operator with superlinear right-hand sides....

    Ángel Crespo-Blanco, Patrick Winkert in Annali di Matematica Pura ed Applicata (1923 -)
    Article Open access 21 August 2023
  10. Multiple and Nodal Solutions for Parametric Dirichlet Equations Driven by the Double Phase Differential Operator

    We consider a nonlinear parametric Dirichlet problem driven by the double phase differential operator. Using variational tools combined with critical...

    Li Cai, Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu in Complex Analysis and Operator Theory
    Article Open access 21 June 2023
  11. Absorption paths and equilibria in quitting games

    We study quitting games and introduce an alternative notion of strategy profiles— absorption paths . An absorption path is parametrized by the total...

    Galit Ashkenazi-Golan, Ilia Krasikov, ... Eilon Solan in Mathematical Programming
    Article Open access 22 April 2022
  12. Anisotropic (pq)-Equations with Asymmetric Reaction Term

    We consider a Dirichlet problem driven by the anisotropic ( p q )-Laplacian (double phase problem) and with a reaction term which exhibits asymmetric...

    Zhenhai Liu, Nikolaos S. Papageorgiou in Mediterranean Journal of Mathematics
    Article 15 February 2024
  13. Anisotropic (pq)-equations with superlinear reaction

    In this paper, we consider a Dirichlet problem driven by the anisotropic ( p q )-Laplacian and a superlinear reaction which need not satisfy the...

    Yunru Bai, Nikolaos S. Papageorgiou, Shengda Zeng in Ricerche di Matematica
    Article 09 May 2022
  14. Multiplicity Results for Nonlinear Nonhomogeneous Robin Problems with Indefinite Potential Term

    We consider a nonlinear Robin problem driven by a general nonhomogeneous differential operator plus an indefinite potential term. The reaction is of...

    Yunru Bai, Nikolaos S. Papageorgiou, Shengda Zeng in Results in Mathematics
    Article 26 April 2023
  15. (pq)-Equations with Negative Concave Terms

    In this paper, we study a nonlinear Dirichlet problem driven by the ( p q )-Laplacian and with a reaction that has the combined effects of a negative...

    Ángel Crespo-Blanco, Nikolaos S. Papageorgiou, Patrick Winkert in The Journal of Geometric Analysis
    Article Open access 27 October 2022
  16. Parametric anisotropic singular equations with [p(z), q(z)]-growth conditions and indefinite perturbation

    We study a parametric, anisotropic, singular equation with a reaction which has the combined effects of a singular term and of a superlinear...

    Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Jian Zhang in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
    Article 24 August 2023
  17. Anisotropic (p,q)-Equations with Convex and Negative Concave Terms

    We consider a parametric Dirichlet problem driven by the anisotropic (p, q)-Laplacian and with a reaction which exhibits the combined effects of a...
    Nikolaos S. Papageorgiou, Dušan D. Repovš, Calogero Vetro in Recent Advances in Mathematical Analysis
    Chapter 2023
  18. Global Existence and Multiplicity for Nonlinear Robin Eigenvalue Problems

    We consider a parametric problem driven by the p -Laplacian with Robin boundary condition. We assume that the reaction can change sign and we prove an...

    Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Wen Zhang in Results in Mathematics
    Article 26 April 2023
  19. Twin Positive Solutions for a Parametric Double Phase Equation with pq-Growth

    We consider a parametric double phase equation with unbalanced growth and a logistic-type reaction. We assume that in the reaction the perturbation...

    Zhenhai Liu, Nikolaos S. Papageorgiou in Mediterranean Journal of Mathematics
    Article 27 March 2023
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