Publication detail

Multiplicity of concentrating solutions for (p, q)-Schrödinger equations with lack of compactness

AMBROSIO, V. RADULESCU, V.

Original Title

Multiplicity of concentrating solutions for (p, q)-Schrödinger equations with lack of compactness

Type

journal article in Web of Science

Language

English

Original Abstract

We study the multiplicity of concentrating solutions for the following class of (p, q)-Laplacian problems (Formula presented.) where ε > 0 is a small parameter, γ∈{0,1},1 infΛV for some bounded open set Λ ⊂ ℝN, and f: ℝ → ℝ is a continuous nonlinearity with subcritical growth. The main results are obtained by combining minimax theorems, penalization technique and Ljusternik–Schnirelmann category theory. We also provide a multiplicity result for a supercritical version of the above problem by combining a truncation argument with a Moser-type iteration. As far as we know, all these results are new.

Keywords

Schrödinger equations; Ljusternik–Schnirelmann category theory;Moser-type iteration

Authors

AMBROSIO, V.; RADULESCU, V.

Released

7. 10. 2024

Publisher

HEBREW UNIV MAGNES PRESSPO BOX

Location

JERUSALEM, ISRAEL

ISBN

0021-2172

Periodical

ISRAEL JOURNAL OF MATHEMATICS

Year of study

262

Number

1

State

State of Israel

Pages from

399

Pages to

447

Pages count

49

URL

https://link.springer.com/content/pdf/10.1007/s11856-024-2619-8.pdf

BibTex

@article{BUT188558,
  author="Vincenzo {Ambrosio} and Vicentiu {Radulescu}",
  title="Multiplicity of concentrating solutions for (p, q)-Schrödinger equations with lack of compactness",
  journal="ISRAEL JOURNAL OF MATHEMATICS",
  year="2024",
  volume="262",
  number="1",
  pages="399--447",
  doi="10.1007/s11856-024-2619-8",
  issn="0021-2172",
  url="https://link.springer.com/content/pdf/10.1007/s11856-024-2619-8.pdf"
}