LAUSR

Bounded solutions to the 1-Laplacian equation with a total variation term

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0 Published in 2018 at "Ricerche di Matematica"

DOI: 10.1007/s11587-018-0425-5

Abstract: In this paper we study the Dirichlet problem for two related equations involving the 1-Laplacian and a total variation term as reaction, namely: with homogeneous Dirichlet boundary conditions on $$\partial \varOmega $$∂Ω, where $$\varOmega $$Ω… read more here.

Keywords: term; solutions laplacian; bounded solutions; total variation ... See more keywords

Existence and blow-up rate of large solutions of p(x)-Laplacian equations with gradient terms

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1 Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2017.08.038

Abstract: Abstract In this paper we investigate boundary blow-up solutions of the problem { − Δ p ( x ) u + f ( x , u ) = ± K ( x ) | ∇… read more here.

Keywords: solutions laplacian; laplacian equations; existence blow; rate large ... See more keywords

Existence and local boundedness of solutions of a -Laplacian problem

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1 Published in 2019 at "Applicable Analysis"

DOI: 10.1080/00036811.2017.1404581

Abstract: ABSTRACT In this paper, we consider the -Laplacian equation where is an odd increasing homeomorphism from onto which is not necessarily differentiable. The term is a suitable parameter and g is measurable. We prove that… read more here.

Keywords: local boundedness; existence local; solutions laplacian; boundedness solutions ... See more keywords

A note on homoclinic solutions of (p,q)-Laplacian difference equations

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1 Published in 2019 at "Journal of Difference Equations and Applications"

DOI: 10.1080/10236198.2019.1572128

Abstract: We prove the existence of at least two positive homoclinic solutions for a discrete boundary value problem of equations driven by the -Laplace operator. The properties of the nonlinearity ensure that the energy functional, corresponding… read more here.

Keywords: difference equations; laplacian difference; note homoclinic; solutions laplacian ... See more keywords

Infinitely many weak solutions for p(x)-Laplacian-like problems with Neumann condition

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1 Published in 2018 at "Complex Variables and Elliptic Equations"

DOI: 10.1080/17476933.2016.1278438

Abstract: The paper studies the existence of infinitely many solutions for a Neumann problem involving the p(x)-Laplacian-like depending on two parameters. Our approach is based on variational methods. read more here.

Keywords: solutions laplacian; like problems; infinitely many; weak solutions ... See more keywords