Nehari manifold approach for superlinear double phase problems with variable exponents

Á Crespo-Blanco, P Winkert - Annali di Matematica Pura ed Applicata …, 2024 - Springer
In this paper we consider quasilinear elliptic equations driven by the variable exponent
double phase operator with superlinear right-hand sides. Under very general assumptions …

Existence of solutions for a double-phase variable exponent equation without the Ambrosetti-Rabinowitz condition

J Liu, P Pucci - Advances in Nonlinear Analysis, 2023 - degruyter.com
The article deals with the existence of a pair of nontrivial nonnegative and nonpositive
solutions for a nonlinear weighted quasilinear equation in RN, which involves a double …

Ambrosetti–Prodi problems for the Robin (p, q)-Laplacian

NS Papageorgiou, VD Rădulescu, J Zhang - Nonlinear Analysis: Real …, 2022 - Elsevier
Abstract The classical Ambrosetti–Prodi problem considers perturbations of the linear
Dirichlet Laplace operator by a nonlinear reaction whose derivative jumps over the principal …

Existence of ground state solutions for a Choquard double phase problem

R Arora, A Fiscella, T Mukherjee, P Winkert - Nonlinear Analysis: Real …, 2023 - Elsevier
In this paper we study quasilinear elliptic equations driven by the double phase operator
involving a Choquard term of the form− L p, qa (u)+| u| p− 2 u+ a (x)| u| q− 2 u=∫ RNF (y, u) …

[HTML][HTML] Superlinear elliptic equations with unbalanced growth and nonlinear boundary condition

E Amoroso, Á Crespo-Blanco, P Pucci… - Bulletin des Sciences …, 2024 - Elsevier
In this paper we first introduce an innovative equivalent norm in the Musielak-Orlicz Sobolev
spaces in a very general setting and we then present a new result on the boundedness of …

[PDF][PDF] Multiple solutions to the double phase problems involving concave–convex nonlinearities

JM Kim, YH Kim - AIMS Math, 2023 - aimspress.com
This paper is concerned with several existence results of multiple solutions for
Schrödingertype problems involving the double phase operator for the case of a combined …

On critical double phase problems in RN involving variable exponents

HH Ha, K Ho - Journal of Mathematical Analysis and Applications, 2025 - Elsevier
We establish a Lions-type concentration-compactness principle and its variant at infinity for
Musielak-Orlicz-Sobolev spaces associated with a double phase operator with variable …

Quasilinear double phase problems with parameter dependent performance on the whole space

B Ge, WS Yuan - Bulletin des Sciences Mathématiques, 2024 - Elsevier
This paper concerns with a class of double phase problem depending of one real parameter
on the whole space. Under some appropriate assumptions, we obtain the existence of at …

Existence and bifurcation of positive solutions for fractional pp‐Kirchhoff problems

L Wang, Y Xing, B Zhang - Mathematical Methods in the …, 2023 - Wiley Online Library
In this paper, we are interested in the existence and bifurcation of positive solutions for
Kirchhoff‐type eigenvalue problems involving the fractional pp‐Laplacian. First, we …

Double phase problems with variable exponents depending on the solution and the gradient in the whole space

AE Bahrouni, A Bahrouni, P Winkert - arXiv preprint arXiv:2410.20480, 2024 - arxiv.org
In this paper, we establish continuous and compact embeddings for a new class of Musielak-
Orlicz Sobolev spaces in unbounded domains driven by a double phase operator with …