Results 11 to 20 of about 538 (68)
Positive solutions for (p, q)-equations with convection and a sign-changing reaction
Advances in Nonlinear Analysis, 2021 We consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian and with a reaction which is dependent on the gradient. We look for positive solutions and we do not assume that the reaction is nonnegative.
Zeng Shengda, Papageorgiou Nikolaos S.
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Flat solutions of the 1-Laplacian equation [PDF]
, 2017 For every $f \in L^N(\Omega)$ defined in an open bounded subset $\Omega$ of $\mathbb{R}^N$, we prove that a solution $u \in W_0^{1, 1}(\Omega)$ of the $1$-Laplacian equation ${-}\mathrm{div}{(\frac{\nabla u}{|\nabla u|})} = f$ in $\Omega$ satisfies ...
Orsina, Luigi, Ponce, Augusto C.
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N-Laplacian critical problem with discontinuous nonlinearities
Advances in Nonlinear Analysis, 2015 In this paper, we study the existence of a solution of the N-Laplacian critical problem with discontinuous nonlinearity of Heaviside type in a smooth bounded domain with respect to a positive parameter λ.
Tiwari Sweta
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On the solutions to p-Poisson equation with Robin boundary conditions when p goes to +∞
Advances in Nonlinear Analysis, 2022 We study the behaviour, when p→+∞p\to +\infty , of the first p-Laplacian eigenvalues with Robin boundary conditions and the limit of the associated eigenfunctions.
Amato Vincenzo +3 more
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Implicit equations involving the $p$-Laplace operator [PDF]
, 2020 In this work we study the existence of solutions $u \in W^{1,p}_0(\Omega)$ to the implicit elliptic problem $ f(x, u, \nabla u, \Delta_p u)= 0$ in $ \Omega $, where $ \Omega $ is a bounded domain in $ \mathbb R^N $, $ N \ge 2 $, with smooth boundary ...
Marino, Greta, Paratore, Andrea
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A bifurcation result involving Sobolev trace embedding and the duality mapping of W1,p
Moroccan Journal of Pure and Applied Analysis, 2017 We consider the perturbed nonlinear boundary condition ...
El Khalil Abdelouahed
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An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes
, 2020 In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary value problem for the p-Laplacian operator in domains with convex holes.
Della Pietra, Francesco +1 more
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Continuity results for parametric nonlinear singular Dirichlet problems
Advances in Nonlinear Analysis, 2019 In this paper we study from a qualitative point of view the nonlinear singular Dirichlet problem depending on a parameter λ > 0 that was considered in [32].
Bai Yunru +2 more
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A Picone identity for variable exponent operators and applications
Advances in Nonlinear Analysis, 2019 In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u|p(x)−2 ∇ u).
Arora Rakesh +2 more
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Supersolutions to nonautonomous Choquard equations in general domains
Advances in Nonlinear Analysis, 2023 We consider the nonlocal quasilinear elliptic problem: −Δmu(x)=H(x)((Iα*(Qf(u)))(x))βg(u(x))inΩ,-{\Delta }_{m}u\left(x)=H\left(x){(\left({I}_{\alpha }* \left(Qf\left(u)))\left(x))}^{\beta }g\left(u\left(x))\hspace{1.0em}\hspace{0.1em}\text{in}\hspace{0 ...
Aghajani Asadollah, Kinnunen Juha
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