An elliptic equation with blowing-up coefficient and singular lower order term

DOI10.1007/S13324-022-00713-6zbMath1497.35234OpenAlexW4288749630MaRDI QIDQ2165706

A. Marah, Hicham Redwane

Publication date: 22 August 2022

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-022-00713-6

zbMATH Keywords

quasilinear elliptic equationsexistence and uniquenessblowing-up coefficients

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Cites Work

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• Nonlinear equations with unbounded heat conduction and integrable data
• Quasilinear equations with natural growth
• Existence of solution for nonlinear elliptic equations with unbounded coefficients and \(L^1\) data
• Existence and nonexistence of solutions for singular quadratic quasilinear equations
• Existence results for nonlinear elliptic problems with unbounded coefficients
• Existence of bounded solutions for non linear elliptic unilateral problems
• Sign-changing solutions for elliptic problems with singular gradient terms and \(L^{1}(\Omega )\) data
• Elliptic equations having a singular quadratic gradient term and a changing sign datum
• Asymptotic behavior and existence of solutions for singular elliptic equations
• Nonlinear elliptic equations with unbounded coefficient and singular lower order term
• Nonlinear problems with unbounded coefficients and \(L^1\) data
• A priori estimates for elliptic problems with a strongly singular gradient term and a general datum.
• A class of quasilinear Dirichlet problems with unbounded coefficients and singular quadratic lower order terms
• Singular quasilinear equations with quadratic growth in the gradient without sign condition
• Sur un problème elliptique non linéaire avec diffusion singulière et second membre dans
• An Elliptic Equation with Blowing-Up Diffusion and Data in L¹: Existence and Uniqueness
• Quasilinear stationary problems with a quadratic gradient term having singularities
• Dirichlet problems with singular and gradient quadratic lower order terms
• Uniqueness of solutions for some elliptic equations with a quadratic gradient term
• Strongly nonlinear elliptic equations having natural growth terms and L1 data
• Quasilinear diffusion problems with singular coefficients with respect to the unknown

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