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On the Blow-Up of the Solution of a Problem for the Sobolev Equation with a Noncoercive Source
AbstractWe consider an initial–boundary value problem for a nonlinear Sobolev-type second-order differential equation with a noncoercive source...
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Noncoercive Variational–Hemivariational Inequalities: Existence, Approximation by Double Regularization, and Application to Nonmonotone Contact Problems
We study noncoercive nonlinear variational–hemivariational inequalities that encompass semicoercive nonlinear monotone variational inequalities and...
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Renormalized Solutions to a Class of Noncoercive Parabolic Equations with Variable Exponents
A class of nonlinear parabolic equations with variable exponents and noncoercive term is investigated in this paper. With the help of truncation...
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On Noncoercive (p, q)-Equations
We consider a nonlinear Dirichlet problem driven by a ( p, q )-Laplace differential operator (1 < q < p ). The reaction is ( p − 1)-linear near ±∞ and...
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Nonlinear Diffusion Equations with a Noncoercive Potential
Chapter 3 is devoted to the study of the existence of solutions to nonlinear diffusion equations...
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Solutions with Sign Information for Noncoercive Double Phase Equations
We consider a nonautonomous ( p , q )-equation with unbalanced growth and a reaction which exhibits the combined effects of a parametric “concave" (
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Blow-up of Solutions and Local Solvability of an Abstract Cauchy Problem of Second Order with a Noncoercive Source
AbstractAn abstract Cauchy problem for a second-order differential equation with nonlinear operator coefficients is considered. The local solvability...
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Addendum to the Chicco Theorem
We obtain Chicco type estimates for the solution to a noncoercive second order elliptic equation with drift.
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A new class of generalized quasi-variational inequalities with applications to Oseen problems under nonsmooth boundary conditions
In this paper, we study a generalized quasi-variational inequality (GQVI for short) with two multivalued operators and two bifunctions in a Banach...
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Five solutions for the fractional \(\pmb {p}\)-Laplacian with noncoercive energy
We deal with a Dirichlet problem driven by the degenerate fractional p -Laplacian and involving a nonlinear reaction which satisfies, among other...
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Existence of Solutions for a Class of Noncoercive Variational–Hemivariational Inequalities Arising in Contact Problems
The primary objective is to investigate a class of noncoercive variational–hemivariational inequalities on a Banach space. We start with several new...
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Positive Solutions for the Fractional p-Laplacian via Mixed Topological and Variational Methods
We study a nonlinear, nonlocal Dirichlet problem driven by the degenerate fractional p-Laplacian via a combination of topological methods (degree...
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Indefinite Perturbations of the Eigenvalue Problem for the Nonautonomous p-Laplacian
We consider an indefinite perturbation of the eigenvalue problem for the nonautonomous p -Laplacian. The main result establishes an exhaustive...
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On the Minimal Solutions of Variational Inequalities in Orlicz-Sobolev Spaces
In this paper, the author studies the existence of the minimal nonnegative solutions of some elliptic variational inequalities in Orlicz-Sobolev...
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Existence Results for Noncoercive Mixed Variational Inequalities in Finite Dimensional Spaces
We use asymptotic analysis and generalized asymptotic functions for studying nonlinear and noncoercive mixed variational inequalities in finite...
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Noncoercive Stationary Navier–Stokes Equations of Heat-Conducting Fluids Modeled by Hemivariational Inequalities: An Equilibrium Problem Approach
In this paper, we study the existence of solutions for noncoercive stationary Navier–Stokes equations of heat-conducting fluids with nonmonotone...
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Finite volume scheme and renormalized solutions for nonlinear elliptic Neumann problem with \(L^1\) data
In this paper we study the convergence of a finite volume approximation of a convective diffusive elliptic problem with Neumann boundary conditions...
