Multiplicity of solutions for the stationary quantum Zakharov system with combined nonlinearities

DOI10.1080/17476933.2023.2229736zbMATH Open1547.35358MaRDI QIDQ6607394

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Publication date: 18 September 2024

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• On one dimensional quantum Zakharov system
• On the existence of solutions for the Schrödinger-Poisson equations
• Combined effects of concave and convex nonlinearities in some elliptic problems
• On the standing waves of quantum Zakharov system
• Local superlinearity and sublinearity for indefinite semilinear elliptic problems.
• Global well-posedness and the classical limit of the solution for the quantum Zakharov system
• Multibump solutions of nonlinear Schrödinger equations with steep potential well and indefinite potential
• The stationary quantum Zakharov system perturbed by a local nonlinearity
• Multiple positive solutions for Schrödinger-Poisson system in \(\mathbb{R}^{3}\) involving concave-convex nonlinearities with critical exponent
• Ground state solutions for an indefinite Kirchhoff type problem with steep potential well
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Sign-changing multi-bump solutions for nonlinear Schrödinger equations with steep potential wells
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Existence and multiplicity results for some superlinear elliptic problems on R^N
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