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We present existence and nonexistence results on the solution of an overdetermined problem for the normalized p-Laplacian in a bounded open set, with p ranging from 1 to infinity. More precisely we consider a non-constant Neumann condition…

Analysis of PDEs · Mathematics 2024-03-06 Lucio Cadeddu , Antonio Greco , Benyam Mebrate

In this preprint we consider fully nonlinear equations in thin domains with oblique boundary condition, finding some new phenomena, in particular the limit equation contains "new terms" of the second, first and zeroth order which don't have…

Analysis of PDEs · Mathematics 2024-11-01 Isabeau Birindelli , Ariela Briani , Hitoshi Ishii

Inspired by the penalization of the domain approach of Lions & Sznitman, we give a sense to Neumann and oblique derivatives boundary value problems for nonlocal, possibly degenerate elliptic equations. Two different cases are considered:…

Analysis of PDEs · Mathematics 2013-10-25 Guy Barles , Christine Georgelin , Espen R. Jakobsen

We consider a one-dimensional free boundary problem governed by a nonlinear diffusion - convection equation with a Neumann condition at fixed face $x=0$, which is variable in time and a like Stefan convective condition on the free boundary.…

Analysis of PDEs · Mathematics 2024-10-07 Adriana C. Briozzo

This paper is devoted to the study of $L_p$ Lyapunov-type inequalities for linear systems of equations with Neumann boundary conditions and for any constant $p \geq 1$. We consider ordinary and elliptic problems. The results obtained in the…

Analysis of PDEs · Mathematics 2009-06-08 Antonio Canada , Salvador Villegas

The qualitative analysis of the initial value problem P related to a non linear third order parabolic equation typical of diffusive models is discussed. Some basic properties of the the fundamental solution of a related linear operator are…

Mathematical Physics · Physics 2012-03-13 M. De Angelis , A. Maio , E. Mazziotti

We discuss the existence of solutions of nonlinear problem involving,two critical Sobolev exponents. we will ll out the su cient conditions to nd solutions for the problem in presence of a nonlinear Neumann boundary data with a critical…

Analysis of PDEs · Mathematics 2014-01-21 Rejeb Hadiji , Habib Yazidi

Existence of solution and stability results on a class of Non Linear Schroedinger type equations with a bounded nonlinearity are obtained, for a bounded domain and with Dirichlet boundary conditions. The kind of stability under discussion…

Analysis of PDEs · Mathematics 2015-08-20 Marco Ghimenti , Dimitrios Kandilakis , Manolis Magiropoulos

In this paper, a new type of comparison theorem is presented for some initial-boundary value problems of second order nonlinear parabolic systems with nonlinear boundary conditions. This comparison theorem has an advantage over the…

Analysis of PDEs · Mathematics 2021-09-07 Kosuke Kita , Mitsuharu Ôtani

This work gathers new results concerning the semi-geostrophic equations: existence and stability of measure valued solutions, existence and uniqueness of solutions under certain continuity conditions for the density, convergence to the…

Analysis of PDEs · Mathematics 2007-05-23 G. Loeper

We establish the multiplicity of positive solutions to a quasilinear Neumann problem in expanding balls and hemispheres with critical exponent in the boundary condition.

Analysis of PDEs · Mathematics 2016-12-05 Aleksandr Enin

This article studies the Dirichlet problem for a class of degenerate fully nonlinear elliptic equations on Riemannian manifolds with \textit{mean concave} boundary in the sense that the mean curvature of the boundary is…

Analysis of PDEs · Mathematics 2020-06-16 Rirong Yuan

We study the initial value problem for a kind of Euler equation with a source term. Our main result is the existence of a globally-in-time weak solution whose total variation is bounded on the the domain of definition, allowing the…

Analysis of PDEs · Mathematics 2019-01-30 Shuyang Xiang , Yangyang Cao

In this paper we consider a boundary value problem for fully fourth order nonlinear functional differential equation which contains all lower derivatives of proportional delay arguments. By the reduction of the problem to operator equation…

Numerical Analysis · Mathematics 2022-08-12 Dang Quang A , Nguyen Thanh Huong , Dang Quang Long

We prove the existence of non-smooth solutions to fully nonlinear uniformly elliptic equations.

Analysis of PDEs · Mathematics 2009-12-17 Nikolai Nadirashvili , Serge Vladuts

We are concerned with nonexistence results of nonnegative weak solutions for a class of quasilinear parabolic problems with a potential on complete noncompact Riemannian manifolds. In particular, we highlight the interplay between the…

Analysis of PDEs · Mathematics 2015-02-27 P. Mastrolia , D. D. Monticelli , F. Punzo

We show that a general estimate in the $\dib$-Neumann problem implies a upper bound on the order of contact of a complex curve with the boundary and a lower bound on the rate of the Levi form of a bounded family of weights.

Complex Variables · Mathematics 2010-11-05 T. V. Khanh , Giuseppe Zampieri

In this paper we study multiplicity and qualitative behavior of solutions for semilinear elliptic problems with neumann boundary condition and asymptotically linear smooth nonlinearity. We provide sufficient conditions on the number of…

Analysis of PDEs · Mathematics 2018-01-08 Oscar Agudelo , Santiago Correa , Daniel Restrepo , Carlos Velez

We are interested in the problem of existence of soliton-like solutions for the nonlinear Klein-Gordon equation. In particular we study some necessary and sufficient conditions on the nonlinear term to obtain solitons of a given charge. We…

Analysis of PDEs · Mathematics 2009-10-12 Claudio Bonanno

In this short note, we present some new existence results for a nonlinear fourth-order two-point boundary value problem with integral condition. The existence results are obtained by using the Leray-Schauder fixed point theorem. Our work…

Classical Analysis and ODEs · Mathematics 2017-11-21 Faouzi Haddouchi
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