Results 111 to 120 of about 511,067 (272)
In this article, we construct the traveling wave and elliptic function solutions of some special nonlinear evolution equations which are arising in mathematical physics, solid-state physics, fluid flow, fluid dynamics, nonlinear optics, electromagnetic ...
Dianchen Lu+2 more
doaj
On an interpolation inequality and its applications to nonlinear elliptic equations [PDF]
Neil S. Trudinger
openalex +1 more source
Nonlinear Second Order Elliptic Partial Differential Equations at Resonance [PDF]
R. Iannacci, M. N. Nkashama, J. R. Ward
openalex +1 more source
Positive solutions of nonlinear elliptic equations—existence and nonexistence of solutions with radial symmetry in 𝐿_{𝑝}(𝑅^{𝑁}) [PDF]
John Toland
openalex +1 more source
Nonlinear elliptic equations with measures revisited
We study the existence of solutions of the nonlinear problem $$ \left\{ \begin{alignedat}{2} - u + g(u) & = & & \quad \text{in } ,\\ u & = 0 & & \quad \text{on } \partial , \end{alignedat} \right. $$ where $ $ is a Radon measure and $g : \mathbb{R} \to \mathbb{R}$ is a nondecreasing continuous function with $g(0) = 0 ...
Brezis, Haim+2 more
openaire +3 more sources
When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation ...
Zhiren Jin
doaj
Dimension of the set of positive solutions to nonlinear equations and applications
We study the covering dimension of the set of (positive) solutions to various classes of nonlinear equations involving condensing and A-proper maps. It is based on the nontriviality of the fixed point index of a certain condensing map or on oddness ...
Petronije S. Milojevic
doaj
On a class of nonlinear elliptic equations [PDF]
openaire +3 more sources
On the solvability of nonlinear elliptic equations in Sobolev spaces [PDF]
Piotr Fijałkowski
openalex +1 more source
Dirichlet problems for mildly nonlinear elliptic difference equations
G. T. McAllister
openalex +1 more source