Infinitely many solutions for some nonlinear supercritical problems with break of symmetry

• Autorzy: Candela Anna Maria , Salvatore Addolorata

Identyfikatory

DOI

10.7494/OpMath.2019.39.2.175

• Języki publikacji: EN

Abstrakty

EN

In this paper, we prove the existence of infinitely many weak bounded solutions of the nonlinear elliptic problem [formula], where [formula] is an open bounded domain, N ≥ 3, and [formula] are given functions, with[formula], such that A(x, •, •) is even and g(x, •) is odd. To this aim, we use variational arguments and the Rabinowitz's perturbation method which is adapted to our setting and exploits a weak version of the Cerami-Palais-Smale condition. Furthermore, if [formula] grows fast enough with respect to t, then the nonlinear term related to g(x,t) may have also a supercritical growth.

Słowa kluczowe

EN

quasilinear elliptic equation; weak Cerami-Palais-Smale condition; Ambrosetti-Rabinowitz condition break of symmetry; perturbation method; supercritical growth

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2019
• Tom: Vol. 39, no. 2
• Strony: 175--194
• Opis fizyczny: Bibliogr. 26 poz.

Twórcy

autor

Candela Anna Maria

• Universita degli Studi di Bari Aldo Moro Dipartimento di Matematica Via E. Orabona 4, 70125 Bari, Italy

autor

Salvatore Addolorata

• Universita degli Studi di Bari Aldo Moro Dipartimento di Matematica Via E. Orabona 4, 70125 Bari, Italy

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• Anna Maria Candela [e-mail]