Multiple Solutions for Nonvariational Quasilinear Elliptic Systems
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DOI: 10.1007/s00009-018-1133-9
Abstract: We establish the existence of at least three nontrivial solutions for a nonvariational quasilinear elliptic system with homogeneous Dirichlet boundary condition. Two of these solutions are of opposite constant sign and the third one is… read more here.
Keywords: solutions nonvariational; nonvariational quasilinear; elliptic systems; multiple solutions ... See more keywords
Characterization of the Critical Value for a Quasilinear Elliptic Equation with Arbitrary Growth with Respect to the Gradient
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DOI: 10.1007/s00009-019-1413-z
Abstract: The aim of this work is to study a quasilinear elliptic equation where we are particularly interested in the characterization of the critical value, which appears as the Lagrange multiplier in the functional minimization associated… read more here.
Keywords: elliptic equation; characterization critical; quasilinear elliptic; critical value ... See more keywords
Sobolev–Dirichlet problem for quasilinear elliptic equations in generalized Orlicz–Sobolev spaces
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DOI: 10.1007/s11117-020-00789-z
Abstract: In this paper, we prove existence, uniqueness, and local regularity of the solution to the Sobolev–Dirichlet problem for quasilinear elliptic equations in the generalized Orlicz–Sobolev spaces on domains, not necessarily bounded, of $${\mathbb {R}}^N$$ .… read more here.
Keywords: sobolev dirichlet; dirichlet problem; elliptic equations; problem quasilinear ... See more keywords
Gradient estimates for a class of quasilinear elliptic equations with measure data
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DOI: 10.1007/s11425-017-9205-y
Abstract: We study a class of non-homogeneous quasilinear elliptic equations with measure data to obtain an optimal regularity estimate. We prove that the gradient of a weak solution to the problem is as integrable as the… read more here.
Keywords: class; measure; elliptic equations; measure data ... See more keywords
Existence and multiplicity of positive solutions to quasilinear elliptic equations with two parameters
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DOI: 10.1007/s13370-016-0444-x
Abstract: In this paper, we are concerned with quasilinear elliptic equations with a Dirichlet boundary condition and two parameters. Using the truncation techniques and variational methods, the existence and/or multiplicity of positive solutions to the problems… read more here.
Keywords: existence multiplicity; positive solutions; elliptic equations; two parameters ... See more keywords
Harnack inequality for quasilinear elliptic equations on Riemannian manifolds
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DOI: 10.1016/j.jde.2017.10.003
Abstract: Abstract We study viscosity solutions to degenerate and singular elliptic equations div ( F ′ ( | ∇ u | ) | ∇ u | ∇ u ) = h of p-Laplacian type on Riemannian… read more here.
Keywords: harnack inequality; inequality quasilinear; elliptic equations; riemannian manifolds ... See more keywords
Sharp gradient estimates for quasilinear elliptic equations with $p(x)$ growth on nonsmooth domains
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DOI: 10.1016/j.jfa.2017.10.012
Abstract: In this paper, we study quasilinear elliptic equations with the nonlinearity modelled after the p(x) p ( x ) -Laplacian on nonsmooth domains and obtain sharp Calderon–Zygmund type estimates in the variable exponent setting. In… read more here.
Keywords: gradient estimates; estimates quasilinear; sharp gradient; nonsmooth domains ... See more keywords
Gradient estimates via the Wolff potentials for a class of quasilinear elliptic equations
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DOI: 10.1016/j.jmaa.2017.03.037
Abstract: Abstract In this paper we obtain the pointwise gradient estimates via the nonlinear Wolff potentials for weak solutions of a class of non-homogeneous quasilinear elliptic equations with measure data. read more here.
Keywords: gradient estimates; estimates via; class; elliptic equations ... See more keywords
On bounded entire solutions of some quasilinear elliptic equations
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DOI: 10.1016/j.jmaa.2017.05.035
Abstract: Abstract In this paper we prove the existence of infinitely many bounded entire solutions, ground state entire solutions and entire solutions with prescribed limit at infinity to PDEs involving the ϕ-Laplace operator in the setting… read more here.
Keywords: bounded entire; elliptic equations; solutions quasilinear; entire solutions ... See more keywords
On the structure of radial solutions for some quasilinear elliptic equations
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DOI: 10.1016/j.jmaa.2018.10.019
Abstract: Abstract In this paper we study entire radial solutions for the quasilinear p-Laplace equation Δ p u + k ( x ) f ( u ) = 0 where k is a radial positive weight… read more here.
Keywords: radial solutions; solutions quasilinear; quasilinear elliptic; elliptic equations ... See more keywords
Double critical surfaces of singular quasilinear elliptic systems
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DOI: 10.1016/j.jmaa.2019.123607
Abstract: Abstract In this paper, we mainly study the asymptotic behaviors at the origin and infinity of positive weak solutions to quasilinear elliptic systems in R N , which involve strongly–coupled critical nonlinearities and different Hardy–type… read more here.
Keywords: singular quasilinear; critical surfaces; elliptic systems; double critical ... See more keywords