Entropy solutions for elliptic Schrödinger type equations under Fourier boundary conditions

DOI10.1007/S12215-022-00822-YzbMath1518.35331OpenAlexW4306382223MaRDI QIDQ6104189

Ismael Nyanquini, Hayat Benkhalou, Mohamed Badr Benboubker, Hassane Hjiaj

Publication date: 28 June 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-022-00822-y

zbMATH Keywords

nonlinear Schrödinger-type equationsexistence of entropy solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Related Items (1)

Multi-peak solutions for coupled nonlinear Schrödinger systems in low dimensions

Cites Work

• Lebesgue and Sobolev spaces with variable exponents
• Overview of differential equations with non-standard growth
• Entropy solutions for a doubly nonlinear elliptic problem with variable exponent
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• Electrorheological fluids: modeling and mathematical theory
• Entropy solution for nonlinear elliptic problem involving variable exponent and Fourier type boundary condition
• Renormalized solutions for \(p(x)\)-Laplacian equation with Neumann nonhomogeneous boundary condition
• Existence of renormalized solutions for some quasilinear elliptic Neumann problems
• Solutions for Neumann boundary value problems involving \(p(x)\)-Laplace operators
• Weak and entropy solutions for a class of nonlinear inhomogeneous Neumann boundary value problem with variable exponent
• Stationary waves of Schrödinger-type equations with variable exponent
• Entropy solutions for the $p(x)$-Laplace equation
• Existence and multiplicity of solutions for a Neumann problem involving the \(p(x)\)-Laplace operator
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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