This article establishes the existence of solutions in a weak sense for a quasilinear Dirichlet problem exhibiting anisotropic differential operator with unbounded coefficients in the principal part and full dependence on the gradient in the lower order terms. A major part of this work focuses on the existence of a uniform bound for the solution set in the anisotropic setting. The unbounded coefficients are handled through an appropriate truncation and a priori estimates.

Motreanu D., Tornatore E. (2024). DIRICHLET PROBLEMS WITH ANISOTROPIC PRINCIPAL PART INVOLVING UNBOUNDED COEFFICIENTS. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2024(1-??), 1-13 [10.58997/ejde.2024.11].

DIRICHLET PROBLEMS WITH ANISOTROPIC PRINCIPAL PART INVOLVING UNBOUNDED COEFFICIENTS

Tornatore E.
Secondo
2024-01-30

Abstract

This article establishes the existence of solutions in a weak sense for a quasilinear Dirichlet problem exhibiting anisotropic differential operator with unbounded coefficients in the principal part and full dependence on the gradient in the lower order terms. A major part of this work focuses on the existence of a uniform bound for the solution set in the anisotropic setting. The unbounded coefficients are handled through an appropriate truncation and a priori estimates.
30-gen-2024
Settore MAT/05 - Analisi Matematica
Motreanu D., Tornatore E. (2024). DIRICHLET PROBLEMS WITH ANISOTROPIC PRINCIPAL PART INVOLVING UNBOUNDED COEFFICIENTS. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2024(1-??), 1-13 [10.58997/ejde.2024.11].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/636153
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