Search results for "variational method"

showing 6 items of 46 documents

Non-homogeneous Dirichlet problems with concave-convex reaction

2022

The variational methods are adopted for establishing the existence of at least two nontrivial solutions for a Dirichlet problem driven by a non-homogeneous differential operator of p-Laplacian type. A large class of nonlinear terms is considered, covering the concave-convex case. In particular, two positive solutions to the problem are obtained under a (p -1)-superlinear growth at infinity, provided that a behaviour less than (p -1)-linear of the nonlinear term in a suitable set is requested.

nonlinear elliptic problemmultiple solutionsVariational methodsp-Laplace operatorSettore MAT/05 - Analisi MatematicaGeneral Mathematicscritical pointRendiconti Lincei - Matematica e Applicazioni
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Gradient nonlinear elliptic systems driven by a (p,q)-laplacian operator

2017

In this paper, using variational methods and critical point theorems, we prove the existence of multiple weak solutions for a gradient nonlinear Dirichlet elliptic system driven by a (p, q)-Laplacian operator.

p-Laplacian critical pointNonlinear elliptic systemDirichlet conditions mul- tiple solutionvariational method
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Two positive solutions for a nonlinear parameter-depending algebraic system

2021

The existence of two positive solutions for a nonlinear parameter-depending algebraic system is investigated. The main tools are a finite dimensional version of a two critical point theorem and a recent weak-strong discrete maximum principle.

positive solutionSettore MAT/05 - Analisi Matematicavariational methodsNonlinear algebraic system
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Two positive solutions for a nonlinear parameter-depending algebraic system

2021

The existence of two positive solutions for a nonlinear parameter-depending algebraic system is investigated. The main tools are a finite dimensional version of a two critical point theorem and a recent weak-strong discrete maximum principle.

positive solutionspositive solutionSettore MAT/05 - Analisi Matematicavariational methodsNonlinear algebraic systemNonlinear algebraic systems; positive solutions; variational methodsNonlinear algebraic systems
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Existence of two solutions for singular Φ-Laplacian problems

2022

AbstractExistence of two solutions to a parametric singular quasi-linear elliptic problem is proved. The equation is driven by theΦ\Phi-Laplacian operator, and the reaction term can be nonmonotone. The main tools employed are the local minimum theorem and the Mountain pass theorem, together with the truncation technique. GlobalC1,τ{C}^{1,\tau }regularity of solutions is also investigated, chiefly viaa prioriestimates and perturbation techniques.

singular termΦ-LaplacianSettore MAT/05 - Analisi MatematicaGeneral MathematicsSobolev-Orlicz spaceFOS: Mathematicsvariational methodsStatistical and Nonlinear Physics35J20 35J25 35J62Analysis of PDEs (math.AP)Advanced Nonlinear Studies
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Multiple solutions for a Sturm-Liouville problem with periodic boundary conditions

2013

The main purpose of this paper is to establish the existence of multiple solutions for a Sturm-Liouville problem with periodic boundary conditions. The approach is based on variational methods and multiple critical points theorems

variational methods periodic boundary conditionsSettore MAT/05 - Analisi Matematica
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